# What’s 3√18?

Apr 25, 2018

Exact : 9$\sqrt{2}$ Rounded:~12.728

#### Explanation:

You can divide $\sqrt{18}$ into $\sqrt{2 \cdot 9}$, then simplify that to $\sqrt{2 \cdot {3}^{2}}$. Because these 2 terms are multiplicative, the ${3}^{2}$ can be removed from the square root. The next result would be 3$\sqrt{2}$. Multiply by the previous coefficient term to get 9$\sqrt{2}$. Unfortunately, $\sqrt{2}$ is irrational so it has no direct decimal conversion, so it must be rounded.

Apr 25, 2018

$9 \sqrt{2}$

#### Explanation:

First, let's figure out how to simplify what's inside.

$\sqrt{18}$ is the same as $\sqrt{3 \times 3 \times 2}$

Circle the pairs. Here you can see their's only one pair and that is of $3$. Everything else remains inside. Multiply $3$ by the $3$ on the outside and that will get you

$9 \sqrt{2}$