# What is the square root of 160?

May 23, 2018

The result can be shown in both exact and decimal forms.
Exact Form:

$4 \sqrt{10}$

Decimal Form:

12.64911064…

#### Explanation:

Rewrite $160$ as $\sqrt{4 \times 10}$

sqrt(4 xx 10 = $4 \sqrt{10}$

The result can be shown in both exact and decimal forms.
Exact Form:

$4 \sqrt{10}$

Decimal Form:

12.64911064…
.

May 23, 2018

See a solution process below:

#### Explanation:

We can rewrite this expression as:

$\sqrt{160} \implies \sqrt{16 \cdot 10}$

Now, we can use this rule for radicals to simplify the expression:

$\sqrt{\textcolor{red}{a} \cdot \textcolor{b l u e}{b}} = \sqrt{\textcolor{red}{a}} \cdot \sqrt{\textcolor{b l u e}{b}}$

$\sqrt{\textcolor{red}{16} \cdot \textcolor{b l u e}{10}} \implies \sqrt{\textcolor{red}{16}} \cdot \sqrt{\textcolor{b l u e}{10}} \implies 4 \sqrt{10}$