How do you simplify #(6sqrt3)/sqrt5#?

1 Answer
Jun 9, 2018

Answer:

#(6sqrt3)/sqrt5=color(blue)((6sqrt15)/5#

Explanation:

Simplify:

#(6sqrt3)/sqrt5#

First rationalize the denominator by multiplying both the numerator and the denominator by #sqrt5#.

#(6sqrt3sqrt5)/(sqrt5sqrt5)#

Apply rule: #sqrtasqrta=a#

#(6sqrt3sqrt5)/5#

Apply rule: #sqrtasqrtb=sqrt(ab)#

#(6sqrt15)/5#