Question 176293
<pre><font size = 4 color = "indigo"><b>
{{{(4sqrt(3))/sqrt(12)}}}

Write the {{{12}}} as {{{4*3}}}

{{{(4sqrt(3))/sqrt(4*3)}}}

Take individual square roots on the bottom:

{{{(4sqrt(3))/(sqrt(4)sqrt(3))}}}

Replace {{{sqrt(4)}}} on the bottom by {{{2}}}:

{{{(4sqrt(3))/(2sqrt(3))}}}

Cancel the {{{sqrt(3)}}}'s

{{{(4cross(sqrt(3)))/(2cross(sqrt(3)))}}}

{{{4/2}}}

{{{2}}}

Edwin</pre>