What is the product (in simplest radical form) of the square route of 6 and the square root of 15?

1 Answer
Apr 9, 2018

sqrt(6)*sqrt(15) = 3sqrt(10)

Explanation:

By radical laws, sqrt(a) * sqrt(b) = sqrt(ab).

Using this law:
sqrt(6)*sqrt(15)
=sqrt(90)

sqrt(90) has 9, a perfect square, as one of its factors, so it can be simplified.
sqrt(90)
=sqrt(9*10)
=sqrt(9)*sqrt(10)
=3sqrt(10)