Question 886714
Hey I a having troubles rationalizing the denominator and simplifying equations.
I hope you guys can help me! It would be great if you show the steps so I could understand.

(3√5-7√10)/√6

3√120/√108

√30+3√3/√30-3√3
<pre>
{{{(3sqrt(5) - 7sqrt(10))/sqrt(6)}}}______{{{(sqrt(6)(3sqrt(5) - 7sqrt(10)))/sqrt(6)sqrt(6)}}}_______{{{(3sqrt(30) - 7sqrt(60))/6}}}
{{{(3sqrt(30) - 7sqrt(2^2 * 15))/6}}}________{{{(3sqrt(30) - 14sqrt(15))/6}}}, or {{{sqrt(30)/2 - 7sqrt(15)/3}}}

{{{3sqrt(120)/sqrt(108)}}}_______{{{3sqrt(120/108)}}}
{{{3sqrt(10/9)}}} ----- Reducing radicand 
{{{3sqrt(10)/sqrt(9)}}}
{{{(3sqrt(10)sqrt(9))/sqrt(9)sqrt(9)}}} ------ Rationalizing denominator
{{{3sqrt(90)/9}}}_______{{{3sqrt(3^2 * 10)/9}}}_______{{{9sqrt(10)/9}}}______{{{cross(9)sqrt(10)/cross(9)}}}______{{{highlight_green(highlight_green(sqrt(10)))}}}

Is the 3rd: {{{sqrt(30) + 3sqrt(3)/sqrt(30) - 3sqrt(3)}}}?