How do you rationalize this denominator?

Question

anonymous · Answer

what is the fraction, or at least the denominator?

anonymous · Answer

Yea

anonymous · Answer

The goal of rationalizing is to get rid of "stuff" under a radical sign like that when it's in the denominator.

The way is to do it is to multiply the top and bottom by the same thing (so you don't change the value of the fraction), but to choose that thing to eliminate the radical on the bottom.

So, here, if you multiply by $$\frac{ \sqrt{3} }{ \sqrt{3} }$$ then on the bottom, it becomes just 3.

anonymous · Answer

$$\frac{ \sqrt{3} }{ \sqrt{3} } \times \frac{ 5 - \sqrt{2} }{ \sqrt{3} } = \frac{ 5\sqrt{3} - \sqrt{2}\sqrt{3}}{ 3 }$$

anonymous · Answer

Then you need to simplify the top part more...

anonymous · Answer

Ah ok. Thanks