Question 35043
Hello!
In order to rationalize the denominator, we need to make use of the following rule:

{{{(a+b)(a-b)=a^2-b^2}}}

The denominator in your case is {{{3- sqrt(6)}}} so in order to eliminate the square root ("rationalize it"), we can multiply it by {{{3+sqrt(6)}}}. Of course, we must multiply the numerator too by that number. So we have:

{{{  (sqrt(7)/(3- sqrt(6)))*( (3+sqrt(6))/(3+sqrt(6)) )}}}

So your expression becomes:

{{{ (sqrt(7)(3+sqrt(6)))/ (9 - 6)}}}
{{{ (sqrt(7)(3+sqrt(6)))/3}}}

So now we've rationalized the denominator.


I hope this helps!
Get more answers at <a href=http://www.onlinemathanswers.com>Online Math Answers.com</a>!