# What is the square root of 3/5?

Mar 3, 2018

$\sqrt{\frac{3}{5}} = 0.77$

#### Explanation:

$\implies \sqrt{\frac{3}{5}}$

=>sqrt((3×2)/(5×2))

$\implies \sqrt{\frac{6}{10}}$

$\implies \sqrt{0.6}$

If Calculator is allowed then directly use enter value and you get something like $0.7745966692$, its up to you to use as many decimal places you want to . Generally nit more than 3 are considered.

However, if you are doing it by long division, i would advice you to first multiply this number by 100 in sqrt and later divide 10 from result.

Here's what i mean to say
$\sqrt{0.6} = \frac{\sqrt{60}}{10}$

Using long division $\sqrt{60} = 7.74 \ldots .$
Divide by 10 and we get $0.774$