Rationalize the denominator. The answer should be expressed in simplified form.

Question

anonymous · Answer

$$\frac{ \sqrt{x}+3 }{ \sqrt{x}-3 }$$

anonymous · Answer

you need to use the inverse function to simplified the expression

anonymous · Answer

How do I do that?

anonymous · Answer

$$\times \sqrt{x}+3 $$ top and bottom

anonymous · Answer

@Miracrown

anonymous · Answer

@hartnn

anonymous · Answer

$$\frac{ x +9}{ x-3 }$$?

shiraz14 · Answer

Multiply by (√x+3)/(√x+3).

anonymous · Answer

So it is...
x-9/x-3?

anonymous · Answer

Or x-9/x-9?

shiraz14 · Answer

No, it would be (x+6√x+9)/(x-9).

anonymous · Answer

Oh ok, Is that is or there's more?

miracrown · Answer

we want to get rid of the radicals from the denominator
it makes sense with the play on words, if our denominator has a radical in it then its crazy and not very rational. it radical!
so we want to rationalize it and that means getting rid of the radical

shiraz14 · Answer

Well it can be further simplified into the following:

1 + 6(√x-3)/(x-9)

miracrown · Answer

@cookiibabii93  I'm trying to help you understand exactly what you need to do so in future you can apply that. :)

anonymous · Answer

Oh ok, thanks @Miracrown  & @shiraz14

shiraz14 · Answer

@Miracrown is correct.

miracrown · Answer

No worries. :-]