# What is 2sqrt45 expressed in simplest radical form?

Apr 15, 2018

$6 \sqrt{5}$

#### Explanation:

This expression will be in simplest form when we cannot factor out any perfect squares from the radical.

We can rewrite $2 \textcolor{b l u e}{\sqrt{45}}$ as:

$2 \cdot \textcolor{b l u e}{\sqrt{9} \cdot \sqrt{5}}$

Which can be simplified to

$2 \cdot \textcolor{b l u e}{3 \sqrt{5}}$

Further being simplified to

$6 \sqrt{5}$

There are no perfect squares in $5$ that we can factor out, thus this is our final answer.

Hope this helps!

Apr 15, 2018

$6 \sqrt{5}$
You should try to find factors of $45$ that are perfect squares(4, 9, 16, 25...). $45 = 9 \cdot 5$, so $2 \sqrt{45}$ is the same as $2 \cdot \sqrt{9 \cdot 5}$. The $\sqrt{9} = 3$, so a $3$ can be removed. leaving $2 \cdot 3 \sqrt{5}$, or $6 \sqrt{5}$.