SOLUTION: Simplify. Express your answer in simplified radical form. {{{sqrt(108x^6)/sqrt(3)}}}

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Simplify. Express your answer in simplified radical form. {{{sqrt(108x^6)/sqrt(3)}}}      Log On


   



Question 89563: Simplify. Express your answer in simplified radical form.
sqrt%28108x%5E6%29%2Fsqrt%283%29

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify. Express your answer in simplified
radical form. 

sqrt%28108x%5E6%29%2Fsqrt%283%29

The principle to use first is:

The quotient of two square roots equals the
square root of the quotient.

So write as a single radical

+sqrt%28+%28108x%5E6%29%2F3+%29+

sqrt%2836x%5E6%29

The square root of 36 is 6.
To take the square root of an even power, 
just divide the power by 2. So the square 
root of x6 is x3 because you divide the 
even power 6 by 2 and get 3.  So the answer 
is 

       6x3

Edwin