How do you simplify #\frac { \sqrt { 540x ^ { 6} } } { \sqrt { 10x } }#?

1 Answer
KPaukstis
Mar 15, 2018

#3x^2sqrt(6x)#

Explanation:

Extend the expression.

#sqrt(540x^6)/sqrt(10x)=(sqrt(10x)*sqrt(54x^5))/sqrt(10x)#
Numerator and denominator like terms cancel and you are left with #sqrt(54x^5)#.
You can simplify this even further by factoring #sqrt(9*6*x^5)# and now you get #3x^2sqrt(6x)#

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