How do you simplify #sqrt(x^2y^3z )/sqrt(xyz)#?

1 Answer
Rafael
Oct 8, 2015

#sqrt(xy^2)#

Explanation:

Since both radicals have the same index (2), you can combine them under one radical symbol:

#sqrt(x^2y^3z)/sqrt(xyz)#
#=sqrt[(x^2y^3z)/(xyz)]#

You can now cancel the denominator:

#sqrt[(x^2y^3z)/(xyz)]#
#=sqrt[(x^cancel2y^(cancel3^2)cancelz)/cancel(xyz)]#
#=color(red)(sqrt(xy^2))#

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