# How do you simplify 5sqrt30 - sqrt3?

May 18, 2018

See below.

#### Explanation:

This form is already pretty much simplified.

You could pull out a factor of $\sqrt{3}$

$\implies 5 \sqrt{30} - \sqrt{3}$

$\implies 5 \sqrt{10} \sqrt{3} - \sqrt{3}$

$\implies \sqrt{3} \left(5 \sqrt{10} - 1\right)$

But I don't see much advantage in this.