# How do you simplify sqrt45+sqrt180?

Nov 6, 2016

$3 \sqrt{45}$

#### Explanation:

This is dividing the numbers by a square number then simplifying.

As 45 is not divisible by a square root number (other than 1) that stays the same

180 does divide by 9, but we want it 'compatible' with $\sqrt{45}$
$\frac{180}{45} = 4$ and 4 is a square number so it can be re=-written like-

$\sqrt{45} + \sqrt{45 \cdot 4}$

you can work out $\sqrt{4} = 2$

$\sqrt{45} + 2 \sqrt{45}$

that equals $3 \sqrt{45}$