<PRE><B>Question 358656</B>
{{{sqrt(5)*(x+sqrt(3))}}} given &lt;br&gt;

{{{sqrt(5)*x+sqrt(5)*sqrt(3)}}} distribute the {{{sqrt(5)}}}&lt;br&gt;

{{{x*sqrt(5)+sqrt(5*3)}}} multiply the numbers inside the radicals&lt;br&gt;

{{{x*sqrt(5)+sqrt(15)}}} simplify the numbers inside the radical&lt;br&gt;

You can&#39;t simplify any further than this since 5 and 15 do not have any square numbers as factors.&lt;br&gt;

I hope this helps!&lt;br&gt;</PRE>