What is #sqrt(108x^3)/sqrt(3x)#?

1 Answer
Jan 31, 2016

This can be simplified to #6x#

Explanation:

Simplify the radical by breaking the radicand up into a product of known factors:
#sqrt(108x^3) = 6x sqrt(3x)#

Our equation now looks like this:
#(6x sqrt(3x))/(sqrt(3x))#

We can cancel the two #sqrt(3x)#

So we are left with #6x#