# Math Help - Rationalize the denominator

1. ## Rationalize the denominator

Can anyone help me figure this problem out step by step? All help would be appreciated.

3/6-√2

2. Originally Posted by typaradise
Can anyone help me figure this problem out step by step? All help would be appreciated.

3/6-√2

use the conjugate

so we have $6-\sqrt{2}$ its conjugate is $6+\sqrt{2}$

mult the numerator and denominator by the conjugate to get

$\frac{3}{6-\sqrt{2}} \cdot \frac{6+\sqrt{2}}{6+\sqrt{2}}=\frac{18+3\sqrt{2}}{ 6-2}=\frac{9}{2}+\frac{3}{4}\sqrt{2}$

3. ## Rationalize the denominator

OMG Thanks.

But can you explain after you multiply by conjugate how did you get the negative for the radical.

4. Originally Posted by typaradise
OMG Thanks.

But can you explain after you multiply by conjugate how did you get the negative for the radical.
It shouldn't have been negative. I fixed my post above.

Good luck.