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

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30
Apr 21, 2015

To find simplest radical form, simply factor the square root until you get a number that can be square rooted. Once you've factored it enough so that you cannot, it is in the simplest radical form.

In this case, $\sqrt{32}$ can be split into $\sqrt{16}$ and $\sqrt{2}$.
$\sqrt{16}$ can be square rooted into $4$. You cannot factor 2 into any other square rootable numbers other than 1 which will equal the same thing.

Final answer would be: $4 \sqrt{2}$

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Veddesh Share
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!... :)

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