How do you simplify #sqrt24/sqrt2#?

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Answer 1 · 2018-03-10T00:55:05

The answer is #2sqrt3#.

Use this rule backwards:

#sqrt(a/b)=sqrta/sqrtb#

So here's the problem:

#color(white)=sqrt24/sqrt2#

#=sqrt(24/2)#

#=sqrt12#

#=sqrt(4*3)#

#=sqrt(2^2*3)#

#=sqrt(2^2)*sqrt3#

#=2*sqrt3#

#=2sqrt3#