Question 89563
<pre><font face = "verdana" size = 5 color = "darkred"><b>
Simplify. Express your answer in simplified
radical form. 

{{{sqrt(108x^6)/sqrt(3)}}}

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( (108x^6)/3 ) }}}

{{{sqrt(36x^6)}}}

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 x<sup>6</sup> is x<sup>3</sup> because you divide the 
even power 6 by 2 and get 3.  So the answer 
is 

       6x<sup>3</sup>

Edwin</pre>