1. ## Rationalising the denominator.

Just a little hint for this one please.

$\frac {1}{1+ \sqrt{2}+ \sqrt{3}}$

Thank you.

2. Originally Posted by Ting
Just a little hint for this one please.

$\frac {1}{1+ \sqrt{2}+ \sqrt{3}}$

Thank you.
First, multiply both numerator and denominator by
(1 +sqrt(2)) -sqrt(3)
to rationalize the sqrt(3)

Or, by (1 +sqrt(3)) -sqrt(2)
to rationalize the sqrt(2)

3. Thank you very much. I should have thought of trying that myself.

Got

$\frac {1+\sqrt{2}-\sqrt{3}}{2 \sqrt{2}}$

and then:

$\frac {\sqrt{2}}{4}-\frac {\sqrt{6}}{4}+\frac {1}{2}$

Thanks again.