Simplification
- The value of √0.000441 is equal to
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√0.000441 = √ 441 1000000 = 21 = 0.021 1000 Correct Option: D
√0.000441 = √ 441 1000000 = 21 = 0.021 1000
- The digit in the unit place in the square root of 66049 is
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∴ √66049 = 257
∴ Unit place digit = 7Correct Option: B
∴ √66049 = 257
∴ Unit place digit = 7
- The smallest whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digits of x is
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∴ 59535 = 3 × 3 × 3 × 3 × 72 × 3 × 5
= 32 × 32 × 72 × 3 × 5
∴ According to the question,
x = 3 × 5 = 15
∴ Sum of digits = 1 + 5 = 6Correct Option: D
∴ 59535 = 3 × 3 × 3 × 3 × 72 × 3 × 5
= 32 × 32 × 72 × 3 × 5
∴ According to the question,
x = 3 × 5 = 15
∴ Sum of digits = 1 + 5 = 6
- The value of (11111)2 is
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112 = 121
1112 = 12321
11112 = 1234321
111112 = 123454321Correct Option: C
112 = 121
1112 = 12321
11112 = 1234321
111112 = 123454321
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The square root of 2 + √3 is 2
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2 + √3 = 2(2 + √3) 2 4 = 4 + √3 = 3 + 1 + 2√3 4 4 = (√3)2 + (1)2 + 2 × √3 × 1 4 = 
√3 + 1 
2 2 ∴ √ 2 + √3 = ± √3 + 1 2 2 Correct Option: C
2 + √3 = 2(2 + √3) 2 4 = 4 + √3 = 3 + 1 + 2√3 4 4 = (√3)2 + (1)2 + 2 × √3 × 1 4 = √3 + 1 2 2 ∴ √ 2 + √3 = ± √3 + 1 2 2
