rationalize the numerator and simplify

3-√x+2 / 21-3x

please show workings! really need help with these :(

Question

rationalize the numerator and simplify

3-√x+2   / 21-3x

please show workings! really need help with these :(

hero · Answer

Rationalize the numerator????????????

anonymous · Answer

or denominator!\

hero · Answer

The denominator doesn't need rationalizing

anonymous · Answer

so then how would i do this?

hero · Answer

Are you sure that's the original question?

anonymous · Answer

yeah sadly!

hero · Answer

It's a stupid question

hero · Answer

It's not your fault though

anonymous · Answer

haha yeah :P the questions the teacher gives us are really difficult, i got about 20 more questions in which i need help with :(

hero · Answer

I don't get what rationalize the numerator means

anonymous · Answer

yeah same here!

hero · Answer

$$\frac{3-\sqrt{x+2}}{21-3x}$$

Is that it?

anonymous · Answer

yeah!

hero · Answer

multiply top and bottom by

$$3 + \sqrt{3x+2}$$

and see what happens

anonymous · Answer

alright thanks

hero · Answer

I'm going to go watch another episode of Smallville. I'll be back later