Find the square root of 1250.

Given :

The given number is 1250.

To do :

We have to find the square root of 1250.

Solution :

Prime factorisation of 1250 is,

$1250 = 2\times 5\times 5\times 5\times 5$

$1250 = 2\times (5\times 5)\times (5\times 5)$

$1250 = 2\times (25\times 25)$

Therefore,

$1250 = 2 \times 25^2$

$\sqrt{1250}=\sqrt{2 \times 25^2}$

                    $= 25\sqrt{2}$

                   $= 25 \times 1.41 = 35.25$

Therefore, the value of $\sqrt{1250}$ is 35.25.