# How do you find the simplest radical form of 32?

Apr 7, 2017

$4 \sqrt{2}$

#### Explanation:

color(blue)(sqrt32

We need to get it into its simplest form. So, split it into prime factors

$\rightarrow \sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 2}$

$\rightarrow \sqrt{\underbrace{2 \cdot 2} \cdot \underbrace{2 \cdot 2} \cdot 2}$

$\rightarrow 2 \cdot 2 \sqrt{2}$

color(green)(rArr4sqrt2

Hope this helps!... :)