# How do you simplify #3sqrt20 + 2sqrt45#?

##### 1 Answer

May 1, 2016

#### Explanation:

In most questions involving powers and roots, a good strategy is to break numbers down into their prime factors. This tells us what we are working with.

4 and 9 are square numbers, they have exact square roots.

=

#3xx2sqrt(5) + 2xx3 sqrt(5)# =

#6sqrt(5) + 6sqrt(5)# =

#12sqrt5#