# How would you simplify 3sqrt5?

Mar 3, 2018

$3 \sqrt{5}$ is already in simplest form

#### Explanation:

The form $3 \sqrt{5}$ is normally considered simplest form.

It is possible to express the same value as a single square root:

$3 \sqrt{5} = \sqrt{{3}^{2}} \sqrt{5} = \sqrt{{3}^{2} \cdot 5} = \sqrt{45}$

However, this is not usually considered the simplest form. We would normally simplify $\sqrt{45}$ as $3 \sqrt{5}$.