How do you simplify 5 sqrt5 times 3 sqrt3?

1 Answer
Feb 15, 2017

15sqrt(15)

Explanation:

Each of the numbers in the problem are being multiplied. The order of items multiplied can be rearranged as follows:

5sqrt(5) 3sqrt(3) = 5(3) sqrt(5) sqrt(3) = 15 sqrt(5) sqrt(3)

Radicals can be combined if they are the same type (e.g. both square roots): 15 sqrt(5 (3)) = 15sqrt(15)