Question 101168
<pre><font size = 3 color = "indigo"><b>
Simplify {{{sqrt((3X)/2)}}}

Write as a fraction of the
square roots:

{{{sqrt(3X)/sqrt(2)}}}

Rationalize the denominator by multplying 

by {{{sqrt(2)/sqrt(2)}}}, (which just equals 1)

{{{sqrt(3X)/sqrt(2)}}}{{{sqrt(2)/sqrt(2)}}} 

Multiply under the radicals:

{{{sqrt(3X*2)/sqrt(2*2)}}}


{{{sqrt(6X)/sqrt(2^2)}}}

{{{sqrt(6X)/2}}} 

Edwin</pre>