Question

perfect square of 108 step by step​

Answer 1

Answer:

The square root of 108 is 10 and 8/21 or 10.381.

Explanation:

List the factors of 108

i.e., 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54

now the largest perfect sq. is 36.

therefore, break down 108 into 36*3

that becomes,

$\sqrt{36 \times 3}$

factor 108 into 36*3

according to the square identity

$\sqrt{x \times y} = \sqrt{x} \times \sqrt{y}$

break the square into

$\sqrt{36} \times \sqrt{3}$

now take the square separately that becomes,

$6 \sqrt{3}$

So the expression

$\sqrt{108}$

gets simplified to

$6 \sqrt{3}$