Question 320095
{{{sqrt(5/(8x))}}}
<pre><b>
This is a bit simpler than the other tutor's solution although his
is correct.

The denominator under the radical needs to be multiplied by 
{{{2x}}} in order to become the perfect square {{{16x^2}}}.

So we multiply under the radical by {{{((2x)/(2x))}}} which is
just 1 in disguise and won't change the value.

{{{sqrt(
(5/(8x))
((2x)/(2x))
)}}}{{{"="}}}{{{sqrt((10x)/(16x^2))}}}{{{"="}}}{{{sqrt(10x)/sqrt(16x^2)}}}{{{"="}}}{{{sqrt(10x)/(4x)}}}

Edwin</pre>