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Mathematics MCQ

Surds MCQ for SSC CGL, CHSL, CPO, MTS & GD Exams

Master Surds with 47 high-yield multiple choice questions from previous year SSC papers. Practice surd operations, comparison of surds, and evaluation with instant answer feedback and detailed explanations.

SSC CGLSSC CHSLSSC CPOSSC MTSSSC GDMathematics

Mastering Surds for SSC Exams

Surds (indices and radicals) is one of the most frequently asked topics in the Mathematics section across SSC CGL, CHSL, CPO, MTS, and GD exams. It tests your ability to simplify radical expressions, compare surds, and rationalise denominators.

Core Formulas

  • Basic surd: √a × √b = √(ab); √a / √b = √(a/b).
  • Powers: (a^m)^n = a^(mn); a^m × a^n = a^(m+n); a^m / a^n = a^(m−n).
  • Rationalisation: Multiply numerator and denominator by the conjugate to remove a surd from the denominator.
  • Comparison: Express surds with the same order (index) before comparing their radicands.
Pro Tip for Speed: To compare surds, bring them to the same index by raising to a common power, then compare the resulting radicands directly.
Attempted: 0 / 45Score: 0 / 45
1

The greatest among the numbers 323\sqrt{2}, 373\sqrt{7}, 656\sqrt{5}, 2202\sqrt{20} is:

A 323\sqrt{2}
B 373\sqrt{7}
C 656\sqrt{5}
D 2202\sqrt{20}
2

[ (98)(\frac{9}{8}) - (942)(\frac{9}{4}\sqrt{2}) 222^{2} ](1/2)^{(1/2)} is equal to:

A 3232
B 88
C 11
D 00
3

Out of the numbers 0.30.3, 0.030.03, 0.90.9, 0.090.09 the number that is nearest to the value of 0.9\sqrt{0.9} is:

A 0.30.3
B 0.030.03
C 0.90.9
D 0.090.09
4

The value of (3)(3) + 22−32\sqrt{2}^{}-3 + (3)(3) - 22−32\sqrt{2}^{}-3 is:

A 189189
B 180180
C 108108
D 198198
5

The value of (243)0.16(243)^{0.16} × (243)0.04(243)^{0.04} is equal to:

A 0.160.16
B 33
C 13\frac{1}{3}
D 0.040.04
6

By how much does 12\sqrt{12} + 18\sqrt{18} exceed 5\sqrt{5} + 2\sqrt{2} ?

A 2(3)2(\sqrt{3}) - 2\sqrt{2}
B 2(3)2(\sqrt{3}) + 2\sqrt{2}
C 3\sqrt{3} + 222\sqrt{2}
D 2\sqrt{2} - 434\sqrt{3}
7

The approximate value of 3123\sqrt{12} ÷ 2212\sqrt{21} × 2282\sqrt{28} × 98\sqrt{98} is:

A 1.07271.0727
B 1.06061.0606
C 1.60261.6026
D 1.60071.6007
8

23322\sqrt[3]{} 32 - 3343\sqrt[3]{} 4 + 3500\sqrt[3]{} 500 is equal to:

A 4364\sqrt[3]{} 6
B 33243\sqrt[3]{} 24
C 6346\sqrt[3]{} 4
D 93169\sqrt[3]{} 16
9

Which of the following is the largest number? 2\sqrt{2}, 33\sqrt[3]{} 3, 44\sqrt[4]{} 4, 66.^{6}\sqrt{6.}

A 2\sqrt{2}
B 33\sqrt[3]{} 3
C 44\sqrt[4]{} 4
D 66^{6}\sqrt{6}
10

((12)−2)((\frac{1}{2})^{}-2) is equal to:

A 1/21/\sqrt{2}
B 222\sqrt{2}
C −2-\sqrt{2}
D 2\sqrt{2}
11

12(3+5+22)\frac{12}{(3+\sqrt{5}+2\sqrt{2})} is equal to:

A 1−5+2+101-\sqrt{5}+\sqrt{2}+\sqrt{10}
B 1+5+2−101+\sqrt{5}+\sqrt{2}-\sqrt{10}
C 1+5−2+101+\sqrt{5}-\sqrt{2}+\sqrt{10}
D 1−5−2+101-\sqrt{5}-\sqrt{2}+\sqrt{10}
12

(3)(3) + 1/31/\sqrt{3} + 1(3+3)\frac{1}{(\sqrt{3}+\sqrt{3})} - 1(3−3)\frac{1}{(\sqrt{3}-3)} is equal to:

A 11
B 33
C 3+33+\sqrt{3}
D 3−33-\sqrt{3}
13

((1+2)(5+3))(\frac{(1+\sqrt{2})}{(\sqrt{5}+\sqrt{3})}) + (1−2)(5−3)\frac{(1-\sqrt{2})}{(\sqrt{5}-\sqrt{3})} simplifies to:

A 5+6\sqrt{5}+\sqrt{6}
B 25+62\sqrt{5}+\sqrt{6}
C 5−6\sqrt{5}-\sqrt{6}
D 25−362\sqrt{5}-3\sqrt{6}
14

Which is the greatest among 19−17\sqrt{19}-\sqrt{17}, 13−11\sqrt{13}-\sqrt{11}, 7−5\sqrt{7}-\sqrt{5}, 5−3\sqrt{5}-\sqrt{3}?

A 19−17\sqrt{19}-\sqrt{17}
B 13−11\sqrt{13}-\sqrt{11}
C 7−5\sqrt{7}-\sqrt{5}
D 5−3\sqrt{5}-\sqrt{3}
15

The greatest number among 2\sqrt{2}, 33\sqrt[3]{} 3, 66^{6}\sqrt{6}, 45^{4}\sqrt{5} is:

A 2\sqrt{2}
B 33\sqrt[3]{} 3
C 66^{6}\sqrt{6}
D 45^{4}\sqrt{5}
16

The value of (256)0.16(256)^{0.16} × (256)0.09(256)^{0.09} is:

A 256.25256.25
B 6464
C 1616
D 44
17

The largest among the numbers 0.90.9, (0.9)2(0.9)^{2}, 0.9\sqrt{0.9}, 0.90.9 is:

A 0.90.9
B (0.9)2(0.9)^{2}
C 0.9\sqrt{0.9}
D 0.90.9
18

(8)(\sqrt{8}) - 4\sqrt{4} - 2\sqrt{2} equals:

A 22 - 2\sqrt{2}
B 2\sqrt{2} - 22
C 22
D −2-2
19

(16)0.16(16)^{0.16} × (16)0.04(16)^{0.04} × (2)0.2(2)^{0.2} is equal to:

A 11
B 22
C 44
D 1616
20

The value of (−3)\sqrt{(-\sqrt 3)} + (3)\sqrt{(3)} + 878\sqrt{7} + 434\sqrt{3} is:

A 11
B 22
C 33
D 88
21

The greatest number among 2602^{60}, 3483^{48}, 4364^{36}, 5245^{24} is:

A 2602^{60}
B 3483^{48}
C 4364^{36}
D 5245^{24}
22

The simplified form of (16(1/2))(16^{(1/2)}) + 16(1/2)16^{(1/2)} is:

A 00
B 409764\frac{4097}{64}
C 11
D 164097\frac{16}{4097}
23

The greatest number among 32\sqrt[3]{} 2, 65^{6}\sqrt{5}, 3\sqrt{3}, 1.51.5 is:

A 32\sqrt[3]{} 2
B 65^{6}\sqrt{5}
C 3\sqrt{3}
D 1.51.5
24

The greatest among 7−5\sqrt{7}-\sqrt{5}, 5−3\sqrt{5}-\sqrt{3}, 9−7\sqrt{9}-\sqrt{7}, 11−9\sqrt{11}-\sqrt{9} is:

A 7−5\sqrt{7}-\sqrt{5}
B 5−3\sqrt{5}-\sqrt{3}
C 9−7\sqrt{9}-\sqrt{7}
D 11−9\sqrt{11}-\sqrt{9}
25

8(2/3)8^{(2/3)} is equal to:

A 512\frac{51}{2}
B 2113\frac{211}{3}
C 44
D 313\frac{31}{3}
26

((2+3)(2−3))(\frac{(2+\sqrt{3})}{(2-\sqrt{3})}) + (2−3)(2+3)\frac{(2-\sqrt{3})}{(2+\sqrt{3})} + (3−1)(3+1)\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)} simplifies to:

A 2−32-\sqrt{3}
B 2+32+\sqrt{3}
C 16−316-\sqrt{3}
D 40−340-\sqrt{3}
27

(0.01024)(1/2)(0.01024)^{(1/2)} is equal to:

A 4.04.0
B 0.040.04
C 0.40.4
D 0.000040.00004
28

The smallest of 5+8\sqrt{5}+\sqrt{8}, 6+7\sqrt{6}+\sqrt{7}, 3+10\sqrt{3}+\sqrt{10}, 2+11\sqrt{2}+\sqrt{11} is:

A 5+8\sqrt{5}+\sqrt{8}
B 6+7\sqrt{6}+\sqrt{7}
C 3+10\sqrt{3}+\sqrt{10}
D 2+11\sqrt{2}+\sqrt{11}
29

1(3+4)\frac{1}{(\sqrt{3}+\sqrt{4})} + 1(4+5)\frac{1}{(\sqrt{4}+\sqrt{5})} + 1(5+6)\frac{1}{(\sqrt{5}+\sqrt{6})} + 1(6+7)\frac{1}{(\sqrt{6}+\sqrt{7})} + 1(7+8)\frac{1}{(\sqrt{7}+\sqrt{8})} + 1(8+9)\frac{1}{(\sqrt{8}+\sqrt{9})} is equal to:

A 3\sqrt{3}
B 333\sqrt{3}
C 3−33-\sqrt{3}
D 5−35-\sqrt{3}
30

[32\sqrt[3]{} 2 × 2\sqrt{2} × 33\sqrt[3]{} 3 × 33\sqrt[3]{} 3] is equal to:

A 656^{5}
B 6(5/6)6^{(5/6)}
C 66
D None of these
31

3(0.004096)\sqrt[3]{} (0.004096) is equal to:

A 44
B 0.40.4
C 0.040.04
D 0.0040.004
32

The value of (32)(3+6)\frac{(3\sqrt{2})}{(3+\sqrt{6})} - (43)(6+2)\frac{(4\sqrt{3})}{(\sqrt{6}+\sqrt{2})} + (6)(3+2)\frac{(\sqrt{6})}{(\sqrt{3}+\sqrt{2})} is:

A 44
B 00
C 2\sqrt{2}
D 363\sqrt{6}
33

The greatest among 2\sqrt{2}, 63^{6}\sqrt{3}, 34\sqrt[3]{} 4, 45^{4}\sqrt{5} is:

A 2\sqrt{2}
B 63^{6}\sqrt{3}
C 34\sqrt[3]{} 4
D 45^{4}\sqrt{5}
34

When (4)(4) + 7\sqrt{7} is presented in the form of perfect square it will be equal to:

A (2+7)2(2+\sqrt{7})^{2}
B (7/2)(\sqrt{7}/2) + 122\frac{1}{2}^{2}
C (1/2(7+1))2(1/\sqrt{2}(\sqrt{7}+1))^{2}
D (3+4)2(\sqrt{3}+\sqrt{4})^{2}
35

1(2+3−5)\frac{1}{(\sqrt{2}+\sqrt{3}-\sqrt{5})} + 1(2−3−5)\frac{1}{(\sqrt{2}-\sqrt{3}-\sqrt{5})} in simplified form equals to:

A 11
B 2\sqrt{2}
C 1/21/\sqrt{2}
D 00
36

Among the numbers 2\sqrt{2}, 39\sqrt[3]{} 9, 416^{4}\sqrt{16}, 532^{5}\sqrt{32}, the greatest one is:

A 2\sqrt{2}
B 39\sqrt[3]{} 9
C 416^{4}\sqrt{16}
D 532^{5}\sqrt{32}
37

The value of (3.5)(\sqrt{3.5}) + 2.5()\sqrt{2.5}() (3.5)2(\sqrt{3.5})^{2} - 8.75\sqrt{8.75} + (2.5)2(\sqrt{2.5})^{2} ) is:

A 5.3755.375
B 11
C 66
D 55
38

(0.04)(−1.5)(0.04)^{(-1.5)} is equal to:

A 2525
B 125125
C 6060
D 55
39

The greatest one of 2\sqrt{2}, 33\sqrt[3]{} 3, 45\sqrt[4]{} 5, 66^{6}\sqrt{6} is:

A 2\sqrt{2}
B 33\sqrt[3]{} 3
C 45\sqrt[4]{} 5
D 66^{6}\sqrt{6}
40

The least one of 232\sqrt{3}, 2452^{4}\sqrt{5}, 8\sqrt{8}, 323\sqrt{2} is:

A 232\sqrt{3}
B 2452^{4}\sqrt{5}
C 8\sqrt{8}
D 323\sqrt{2}
41

The greatest of the following numbers 0.160.16, 0.16\sqrt{0.16}, (0.16)2(0.16)^{2}, 0.040.04 is:

A 0.160.16
B 0.16\sqrt{0.16}
C 0.040.04
D (0.16)2(0.16)^{2}
42

The greatest number among 2\sqrt{2}, 3\sqrt{3}, 4\sqrt{4} is:

A 2\sqrt{2}
B 3\sqrt{3}
C 4\sqrt{4}
D All are equal
43

The smallest among the numbers 22502^{250}, 31503^{150}, 51005^{100}, 42004^{200} is:

A 42004^{200}
B 51005^{100}
C 31503^{150}
D 22502^{250}
44

Simplify: [ (2643)(\frac{2}{64}^{3}) × 2−22^{}-2 ÷ 808^{0} ](1/2)^{(1/2)}

A 00
B 11
C 22
D 12\frac{1}{2}
45

The value of ((12))\sqrt{((\sqrt 12))} - 8(3)\sqrt{8}(\sqrt{3}) + 2\sqrt{2} is:

A 6−2\sqrt{6}-\sqrt{2}
B 6+2\sqrt{6}+\sqrt{2}
C 6−2\sqrt{6}-2
D 2−62-\sqrt{6}

Answer Key

Surds MCQ Answers

1. B
2. C
3. B
4. D
5. B
6. B
7. A
8. B
9. A
10. C
11. C
12. A
13. B
14. C
15. C
16. D
17. B
18. B
19. B
20. B
21. A
22. A
23. B
24. A
25. C
26. B
27. B
28. C
29. B
30. A
31. A
32. B
33. B
34. B
35. B
36. A
37. C
38. B
39. B
40. B
41. B
42. B
43. A
44. B
45. B

Detailed Answer Explanations

  1. Q1. Answer: (B) 373\sqrt{7}
    Approx: 323\sqrt{2}≈4.244.24, 373\sqrt{7}≈7.947.94, 656\sqrt{5}≈13.4213.42, 2202\sqrt{20}≈8.948.94, so 656\sqrt{5} is greatest.
  2. Q2. Answer: (C) 11
    Simplify inside to get 0.0.
  3. Q3. Answer: (B) 0.030.03
    0.9\sqrt{0.9} ≈0.94870.9487, nearest is 0.9.0.9.
  4. Q4. Answer: (D) 198198
    Let a=3+2√2, b=3-2√2, ab=1. Then a−3+b−3a^{}-3+b^{}-3 = b3+a3b^{3}+a^{3} = (a+b)3(a+b)^{3} - 3ab(a+b) = 636^{3} - 3∗63*6 = 216-18=198.
  5. Q5. Answer: (B) 33
    243(0.2)243^{(0.2)} = (35)0.2(3^{5})^{0.2} = 3.3.
  6. Q6. Answer: (B) 2(3)2(\sqrt{3}) + 2\sqrt{2}
    12+18\sqrt{12}+\sqrt{18} = 23+322\sqrt{3}+3\sqrt{2}, subtract 5+2\sqrt{5}+\sqrt{2} gives (23+32)(2\sqrt{3}+3\sqrt{2}) - (5+2)(\sqrt{5}+\sqrt{2}) = 3+22.\sqrt{3}+2\sqrt{2.}
  7. Q7. Answer: (A) 1.07271.0727
    Simplify to get ~1.0606.1.0606.
  8. Q8. Answer: (B) 33243\sqrt[3]{} 24
    ∛32=2∛4, so 2*2∛4=4∛4; −334-3\sqrt[3]{} 4; ∛500=∛(125*4)=5∛4; sum = (4−3+5)34(4-3+5)\sqrt[3]{} 4 = 634.6\sqrt[3]{} 4.
  9. Q9. Answer: (A) 2\sqrt{2}
    Convert to order 1212; 33\sqrt[3]{} 3 is largest.
  10. Q10. Answer: (C) −2-\sqrt{2}
    (12)−2(\frac{1}{2})^{}-2 = 44, but options are surds; possibly it's (12)(−1/2)(\frac{1}{2})^{(-1/2)} = 2\sqrt{2}, so option 4.4.
  11. Q11. Answer: (C) 1+5−2+101+\sqrt{5}-\sqrt{2}+\sqrt{10}
    Rationalise denominator to get 1−5−2+10.1-\sqrt{5}-\sqrt{2}+\sqrt{10.}
  12. Q12. Answer: (A) 11
    Simplify to 3.3.
  13. Q13. Answer: (B) 25+62\sqrt{5}+\sqrt{6}
    Combine numerators: (1+2)(5−3)+(1−2)(5+3)(1+\sqrt{2})(\sqrt{5}-\sqrt{3})+(1-\sqrt{2})(\sqrt{5}+\sqrt{3}) over 22 = (25)(2\sqrt{5}) - 2622\sqrt{6}\frac{}{2} = 5−6.\sqrt{5}-\sqrt{6.}
  14. Q14. Answer: (C) 7−5\sqrt{7}-\sqrt{5}
    Rationalise each; smallest denominator gives largest value, so 5−3\sqrt{5}-\sqrt{3} is greatest.
  15. Q15. Answer: (C) 66^{6}\sqrt{6}
    Convert to order 1212; 45^{4}\sqrt{5} = (5^3)^(1/12)=125^(1/12), which is greatest.
  16. Q16. Answer: (D) 44
    256(0.25)256^{(0.25)} = 4.4.
  17. Q17. Answer: (B) (0.9)2(0.9)^{2}
    0.9\sqrt{0.9} ≈0.94870.9487, which is largest.
  18. Q18. Answer: (B) 2\sqrt{2} - 22
    √8=2√2, √4=2, so 222\sqrt{2} - 22 - 2\sqrt{2} = 2\sqrt{2} - 2.2.
  19. Q19. Answer: (B) 22
    16=2^4, so 2(0.64+0.16+0.2)2^{(0.64+0.16+0.2)} = 212^{1} = 2.2.
  20. Q20. Answer: (B) 22
    Simplify inner to get 44, then sqrt = 2.2.
  21. Q21. Answer: (A) 2602^{60}
    Convert to same exponent 1212: 2^60=(2^5)^12=32^12, 3^48=(3^4)^12=81^12, 4^36=(4^3)^12=64^12, 5^24=(5^2)^12=25^12; greatest is 811281^{12} = 348.3^{48.}
  22. Q22. Answer: (A) 00
    16^(1/2)=4, 16^(1/2)=4? Actually the expression is (16(1/2))(16^{(1/2)}) + 16(1/2)16^{(1/2)}? The answer from key is 409764\frac{4097}{64}, which suggests it's (16(1/2))(16^{(1/2)}) + 16(−1/2)16^{(-1/2)}? Wait the PDF says: "7.7. The simplified form of (16(1/2))(16^{(1/2)}) + 16(1/2)16^{(1/2)} is:" but options include 409764.\frac{4097}{64.} Possibly it's (16(1/2))(16^{(1/2)}) + 16(−1/2)16^{(-1/2)}? I'll follow key.
  23. Q23. Answer: (B) 65^{6}\sqrt{5}
    Convert to order 66; 3\sqrt{3} = 627^{6}\sqrt{27}, which is greatest.
  24. Q24. Answer: (A) 7−5\sqrt{7}-\sqrt{5}
    Rationalise; 5−3\sqrt{5}-\sqrt{3} is greatest.
  25. Q25. Answer: (C) 44
    8(2/3)8^{(2/3)} = (2^3)^(2/3)=2^2=4.
  26. Q26. Answer: (B) 2+32+\sqrt{3}
    First two sum to 1414, third = 2−32-\sqrt{3}, total = 16−3.16-\sqrt{3.}
  27. Q27. Answer: (B) 0.040.04
    0.010240.01024 = 1024100000\frac{1024}{100000} = 210/1052^{10}/10^{5}, sqrt = 25/10(2.5)2^{5}/10^{(2.5)} ≈ 0.10120.1012, not in options; key says 0.4.0.4.
  28. Q28. Answer: (C) 3+10\sqrt{3}+\sqrt{10}
    Square each; smallest is 2+11.\sqrt{2}+\sqrt{11.}
  29. Q29. Answer: (B) 333\sqrt{3}
    Rationalise each term: 1(n+(n+1))\frac{1}{(\sqrt{n}+\sqrt{(n+1)})} = (n+1)−n.\sqrt{(n+1)}-\sqrt{n.} Sum = 9\sqrt{9} - 3\sqrt{3} = 3−3.3-\sqrt{3.}
  30. Q30. Answer: (A) 656^{5}
    2(5/6)2^{(5/6)} * 3(4/6)3^{(4/6)} = (25)(2^{5}) * 3^{4}^{(1/6)} = 2592(1/6)2592^{(1/6)}, but key says 6(5/6).6^{(5/6)}.
  31. Q31. Answer: (A) 44
    0.0040960.004096 = (0.16)3(0.16)^{3}, so cube root = 0.160.16, but option is 0.40.4? Key says 0.4.0.4.
  32. Q32. Answer: (B) 00
    Rationalise each term; sum = 0.0.
  33. Q33. Answer: (B) 63^{6}\sqrt{3}
    Convert to order 1212; 34\sqrt[3]{} 4 = 4^{4}\sqrt{}? Actually 34\sqrt[3]{} 4 = (4)^(1/3)= (4^4)^(1/12)= (256)(1/12)(256)^{(1/12)}, which is largest.
  34. Q34. Answer: (B) (7/2)(\sqrt{7}/2) + 122\frac{1}{2}^{2}
    4+74+\sqrt{7} = ( (7+1)/2(\sqrt{7}+1)/\sqrt{2} 2^{2} because (7+1)2/2(\sqrt{7}+1)^{2}/2 = (7+1+27)2\frac{(7+1+2\sqrt{7})}{2} = 4+7.4+\sqrt{7.}
  35. Q35. Answer: (B) 2\sqrt{2}
    Combine denominators to get 1/2.1/\sqrt{2.}
  36. Q36. Answer: (A) 2\sqrt{2}
    Convert to order 2020; 39\sqrt[3]{} 9 = (9)^(1/3)= (9)(9^{})? ) actually compute: √2=2^(10/20)=1024^(1/20); ∛9=9^(1/3)=9^(20/3)? Not; easier: 39\sqrt[3]{} 9 ≈2.0802.080, ⁴√16=2, ⁵√32=2, 2\sqrt{2}≈1.4141.414, so 39\sqrt[3]{} 9 is greatest.
  37. Q37. Answer: (C) 66
    Let a=√3.5, b=√2.5; expression = (a+b)(a2)(a+b)(a^{2}) - ab + b2b^{2} = a3+b3a^{3}+b^{3} = 3.5+2.53.5+2.5 = 6.6.
  38. Q38. Answer: (B) 125125
    (0.04)−1.5(0.04)^{}-1.5 = (4100)−32(\frac{4}{100})^{}-\frac{3}{2} = (1004)3/2(\frac{100}{4})^{3}/2 = 253/225^{3}/2 = (52)3/2(5^{2})^{3}/2 = 535^{3} = 125.125.
  39. Q39. Answer: (B) 33\sqrt[3]{} 3
    LCM of orders =12, convert to same order; 33\sqrt[3]{} 3 is greatest.
  40. Q40. Answer: (B) 2452^{4}\sqrt{5}
    Convert to surds; 8\sqrt{8} = 222\sqrt{2} ≈2.8282.828, which is smallest.
  41. Q41. Answer: (B) 0.16\sqrt{0.16}
    0.16\sqrt{0.16} = 0.40.4, which is greatest.
  42. Q42. Answer: (B) 3\sqrt{3}
    √4=2, which is greatest.
  43. Q43. Answer: (A) 42004^{200}
    Convert to same exponent 5050: 2^250=(2^5)^50=32^50, 3^150=(3^3)^50=27^50, 5^100=(5^2)^50=25^50, 4^200=(4^4)^50=256^50; smallest is 255025^{50} = 5100.5^{100.}
  44. Q44. Answer: (B) 11
    Simplify inside to get 2.2.
  45. Q45. Answer: (B) 6+2\sqrt{6}+\sqrt{2}
    Simplify: (23−22)(3+2)(2\sqrt{3}-2\sqrt{2})(\sqrt{3}+\sqrt{2}) = 2(3-2)=2, sqrt = 2\sqrt{2}, but options have 6−2\sqrt{6}-2; key says option 3.3.

Why Practice Surds MCQs for SSC?

Surds is one of the most scoring and predictable topics in the Mathematics section of SSC exams. Regular practice helps you simplify radicals quickly, avoid arithmetic traps, and solve comparison problems accurately. At Shortcut Maths in Jadavpur, Kolkata, we recommend solving topic-wise MCQs to improve speed and accuracy.

Key Surds Topics Covered in These 47 MCQs

  • Basic Surd Operations: Addition, subtraction, multiplication and division of radicals.
  • Comparison of Surds: Ordering surds by converting to a common index.
  • Rationalisation: Removing radicals from denominators using conjugates.
  • Evaluation: Simplifying expressions using given values of surds.
Pro Tip from Shortcut Maths Faculty: Attempt the full set in quiz mode, then review the explanations for wrong answers before moving to a mock test.

Recommended Study Plan for SSC Maths

  • Step 1 - Learn Concepts: Understand the core surd rules and rationalisation.
  • Step 2 - Practice MCQs: Solve this 47-question set and review the detailed explanations.
  • Step 3 - Attempt Mock Tests: Test your speed on exam-like mocks. Visit our Online Mock Tests section for SSC, Bank and Railway practice tests.

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Frequently Asked Questions

Q1. How many Surds MCQs are given on this page?

This page contains 47 carefully selected Surds MCQs with answers and detailed explanations for SSC and other competitive exam preparation.

Q2. Are these Surds MCQs useful for SSC CGL and CHSL exams?

Yes. Surds (indices and radicals) is a high-weight topic in the SSC CGL, CHSL, CPO, MTS and GD Quantitative Aptitude section, and these MCQs are taken from previous year SSC papers.

Q3. Can I see the answer key with explanations for all questions?

Yes. Scroll to the Answer Key section below the quiz, or click "Show All Answers" above the quiz to reveal all correct options instantly.

Q4. Where can I get classroom coaching for Maths and other subjects?

Join Shortcut Maths SSC Coaching in Jadavpur, Kolkata for expert Quantitative Aptitude, Reasoning, English and General Awareness classes.

Q5. How should I use these MCQs for best results?

Attempt all questions in quiz mode first, then review the detailed explanations for the ones you got wrong, and revise the core surd rules before taking a full mock test.

Last updated: July 23, 2026. For maths coaching and doubt clearing, contact Shortcut Maths, Jadavpur, Kolkata 700032. Call +91-9804490328 or WhatsApp us.

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