How do you simplify #sqrt(3a)*sqrt(15a)#?

1 Answer
Feb 11, 2017

Answer:

#3asqrt5#

Explanation:

#sqrt(3a)*sqrt(15a)#

We first multiply the numbers under the square root signs keeping both and the product under the square root sign.

#sqrt(3a*15a)#

#sqrt(45a^2)#

Now we reduce the product to factors and remove the squares, keeping the remnant under the square root sign.

#sqrt(3*3*5*a*a)#

Since we have two squares (#3# and #a#) we bring them out of the square root sign and keep the remnant (#5#) under the sign.

#3asqrt5#