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#