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

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Answer 1 · 2018-04-11T00:24:39

#3sqrt10#

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#

Answer 2 · 2018-04-11T00:28:15

#sqrt15sqrt6=color(blue)(3sqrt10#

#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#