Question

square root of 108 step by step​

Answer 1

Answer:

$\sqrt{108}$

$\sqrt{54 \times 2}$

$\sqrt{8 \times 6 \times 2}$

$\sqrt{2 \times 2 \times 2 \times6 \times 2}$

$\sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 2}$

Now take commen 2 out from this

if

$\sqrt{2 \times 2} = 2$

so

$2 \times 2 \times \sqrt{6}$

$4 \times \sqrt{6}$

Approx value of

$\sqrt{6 } = 2.4494$

so,

$4 \times 2.4494 = 9.7976$

Answer 2

The square root of $108$ is $8.484$

Given:

The given number is $108$

To find:

The square root of $108$

Solution:

The square root of $108$ ,

$\sqrt{108} = \sqrt{(2)(2)(3)(3)(3)}$

Removing the square root

         $= 2$ ×$3$× $\sqrt{3}$

          $= 6 \sqrt{3}$

           $= 6$ ×$1.414$

           $= 8.484$

Hence the square root of $108$ is $8.484$

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