Question

4) Expression: 360 What is the value?

Answer 1

The value of $\sqrt{360}$ is 18.974.

Solution:

Given expression:

$\sqrt{360}$

To simplify the given expression and find the value.

$\sqrt{360}$

Factor the value 360 = 36 × 10.

$\sqrt{360}=\sqrt{36\times 10}$

36 can be written as 6 × 6 = 6²

10 can be written as 2 × 5.

       $=\sqrt{6^2\times 2\times 5}$

      $=6\sqrt{2\times 5}$

      $=6\sqrt{10}$

      = 18.974

The value of $\sqrt{360}$ is 18.974.