# How do you find square root of 1256?

It is $\sqrt{1256} = \sqrt{4 \cdot 314} = 2 \sqrt{314} = 35.44$

Sep 21, 2015

$2 \sqrt{314}$

#### Explanation:

Factor out 1256 completely to check if there are any perfect squares.

$\sqrt{1256}$
$= \sqrt{2 \cdot 2 \cdot 2 \cdot 157}$
$= 2 \sqrt{2 \cdot 157}$
$= 2 \sqrt{314}$

You can't simplify it further than that. :)