Question

Help simplifying

Answer 1

\[\frac{ x-4 }{ \sqrt{x+5}-3 }\]

Answer 2

I know I'm supposed to multiply by its conjugate, but what do I do after that?

Answer 3

I got this:
\[\frac{ x \sqrt{x+5}+3x-4\sqrt{x+5}-12 }{ x+5+3\sqrt{x+5}-3\sqrt{x+5}-9 }\]

Answer 4

That simplifies to:
\[\frac{ 3x-3\sqrt{x+5}-12 }{ x-4 }\]

Answer 5

@tcarroll010

Answer 6

Well, here's what I got:\[\left( \frac{ x - 4 }{ \sqrt{x + 5} - 3 } \right)\left( \frac{ \sqrt{x + 5} + 3 }{ \sqrt{x + 5} + 3 } \right) = \frac{ \cancel{(x - 4)}(\sqrt{x + 5} + 3) }{ \cancel{(x + 5) - 9} }\]

Answer 7

Thank you! You're a lifesaver!

Answer 8

Sometimes I get the right answer! We were lucky!

Answer 9

And you're very welcome! @Jay567