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

1 Answer
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)