What is the square root of 15 times the square root of 6?

2 Answers
Apr 11, 2018

Answer:

#3sqrt10#

Explanation:

Remember that #sqrta*sqrtb=sqrt(a*b)#

#sqrt15*sqrt6=sqrt(15*6)#

#sqrt90 rarr# This can be simplified further

#sqrt(9*10) rarr# 9 is a perfect square and can be taken out of the radical

#3sqrt10#

Apr 11, 2018

Answer:

#sqrt15sqrt6=color(blue)(3sqrt10#

Explanation:

#sqrt15sqrt6#

Apply rule: #sqrtasqrtb=sqrt(ab)#

#sqrt15sqrt6=sqrt(15xx6)#

Simplify.

#sqrt15sqrt6=sqrt90#

Prime factorize the radicand.

#sqrt(2xx3^2xx5)#

Apply #sqrt(a^2)=a#

#3sqrt10#