How do you simplify the square root of 21 times the square root of 24?

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Answer 1 · 2018-05-28T15:19:15

#=6sqrt(14)#

#sqrt21*sqrt24#

#=sqrt(21*24)#

Now let's break out the prime factors of each number:

#=sqrt((3*7)*(2*2*2*3)#

#=sqrt(2*2*2*3*3*7)#

#=sqrt(2^2*2*3^2*7)#

#=2*3sqrt(2*7)#

#=6sqrt(14)#