Question 1

√ 0.0009 + √ 0.01 =?

Accepted Answer

Given expression = √0.0009 / √0.01 = √0.0009 / 0.0100 = √9 / 100 = √9 / √100 = 3 / 10 = 0.3

Question 2

√ 0.01 + √0.0064 =?

Accepted Answer

Given expression = √0.01 + 0.08 =√0.09 = 0.3

Question 3

The value of √ 0.9 is?

Accepted Answer

√0.9 = √0.90 = √90/100 = √90/10 = 9.4/10 = 0.94

Question 4

(√ 24 + √ 216) / √ 96 =?

Accepted Answer

(√24 + √216) / √96 = (√4 x 6 + √36 x 6 ) / √16 x 6 = 2√6 + 6√6 = 8√6 / 4√6 = 2

Question 5

1/ (√ 9 - √ 8) =?

Accepted Answer

Exp. = 1 / (√9 - √8) = [1 / (√9 - √8)] x [(√9 + √8) / (√9 + √8)] = (3 + 2√2 ) / (9 - 8) = (3 + 2√2)

Question 6

The value of √ 0.16 / 0.4 is?

Accepted Answer

Exp. = √0.16 / 0.40 = √16 / 40 = √4 / 10 = √0.4 = √0.40 = √40 / 100 = √40 / 10 = 6.3 / 10 = 0.63

Question 7

The value of √ 0.064 is?

Accepted Answer

√0.064 = √0.0640 = √640/10000 = √640 / 100 = 25.2/100 = 0.252.

Question 8

The value of √ 0.121 is?

Accepted Answer

√0.121 = √0.1210 = √1210/10000 = √1210 / 100 = 34.7 / 100 = 0.347.

Question 9

The cube root of .000027 is?

Accepted Answer

(.000027)1/3 = (27 / 1000000)1/3 = (33)1/3 / (106)1/3 = 3 / 100 = .03

Question 10

Find the least number which when multiplied with 74088 will make it a perfect square.

Accepted Answer

74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 = (2x2) x (3x3) x (7x7) x (2x3x7) Least number which should be multiplied to 74088 to make it a Perfect square = 2 x 3 x 7 = 42

Question 11

√ 248 + √(52+ √144)

Accepted Answer

√248 + √(52 + √144) = √248 + √(52 + 12) =√248 + √64 = √248 + 8 = √256 = 16

Question 12

√ 176 + √2401 =?

Accepted Answer

√176 + √2401 = √176 + 49 = √225 = 15

Question 13

(√ 32 + √ 48) / (√ 8 + √ 12) =?

Accepted Answer

(√32 + √48) / (√8 + √12) = (√16 x 2 + √16 x 3) / (√4 x 2 + √4 x 3) = (4√2 + 4√3) / (2√2 + 2√3) = 4(√2 + √3) / 2(√2 + √3 ) = 2

Question 14

If √ 3 =1.732 and √ 2 = 1.414, the value of 1/(√ 3 + √ 2) is?

Accepted Answer

1/ (√3 + √2) = (√3 - √2) / [ 1/ (√3 - √2) x (√3 + √2)] = (√3 - √2) / (3 - 2) = (1.7732 - 1.414) = 0.318

Question 15

If √ 6 = 2.55, then the value of √ 2/3 + 3 √ 3/2 is?

Accepted Answer

=√2/3 + 3√3/2 = √2/√3 x √3/√3 + 3√3/√2 x √2/ √2 = √6/3 + 3√6/2 = (2.55 / 3) + [(3 x 2.55) / 2] = 2.55/3 + 7.65/2 = (5.10 + 22.95)/6 = 28.05/6 = 4.675

Question 16

If √ 2 n = 64, then the value of n is?

Accepted Answer

√2n = 64 ⇒ 2n/2 = 26 ⇒ n/2 = 6 ⇒ n = 12

Question 17

√ (1.21 x 0.9) / (1.1 x 0.11) =?

Accepted Answer

Given expression = √(121 x 9) / (11 x 11) = √9 = 3

Question 18

If √ 1 + 27/169) = (1 + N/13). then N equals?

Accepted Answer

√1 + 27/169 = (1 + N/13) ∴ √196/169 = (1 + N/13) ⇒ 14/13 = (1 + N/13) ⇒ N/13 = (14/13 - 1 ) = 1/13 ∴ N = 1

Question 19

√( 12 + √12 + √12 + ... =?

Accepted Answer

Let given expression = x Then, √12 + x = x ⇒ 12 + x = x2 ⇒ x2 - x - 12 = 0 ⇒ (x - 4) (x + 3) = 0 So, x = 4 (neglecting x = -3)

Question 20

If √ 2 = 1.4142, the value of 7/ (3 + √ 2) is?

Accepted Answer

7/(3 + √2) = [7 x (3- √2)] / [(3 + √2) x (3- √2)] = [7 x ( (3- √2)] / 7 = 3- √2 = 3 - 1.4142 = 1.5858

Square Root and Cube Root Questions