Page 34 - Concepts of Reasoning-8

Worksheet-3.5

Square Roots by Long Division, Square Root of Decimals, Square Root of Fractions

1. Find the square roots of the following perfect square by factorisation method :

a. 47 61 b. 8 67 24 c. 6 1 34 56
6
– – –

0 0

0
Ö4761 = _____ Ö6724 = _____

2. Choose the correct answer :
a. The square root of 156.25 is __________ .

i. 1.25 ii. 12.5 iii. 125 iv. 0.125
b. The square root of 176.89 is __________ .

i. 1.33 ii. 133.3 iii. 13.3 iv. 0.133
c. The square root of 246.49 is __________ .

i. 0.157 ii. 157.7 iii. 1.57 iv. 15.7

d. The square root of 35 correct to two decimal places is __________ .
i. 5.91 ii. 59.16 iii. 0.59 iv. 5.93

e. The square root of 0.000049 is __________ .
i. 0.7 ii. 0.007 iii. 0.0007 iv. 0.00007

3. Pick up the numerators and the denominators from the following set of numbers and form the
fractions whose square roots in their simplest form are given :

36 100 49 81 144 256 225 625 2025 2304 1849 1444

a. Ö__ = 3 b. Ö__ = 16 c. Ö__ = 7
2 5 38

d. Ö__ = 5 e. Ö__ = 43
9 10

34 Reasoning - 8