## anonymous one year ago Okay, last one...

1. anonymous

$\frac{ \sqrt{x+5}-4 }{ x-11 }$ this is as x approaches 11

2. anonymous

gimmick is to rationalize the numerator

3. anonymous

rationalize the numerator

4. anonymous

leave the denominator in factored form, i.e don't multiply out

5. anonymous

Multiply by $$\frac{\sqrt{x+5}+4}{\sqrt{x+5}+4}$$

6. anonymous

$\frac{ x+5 + 16}{ x-11 (\sqrt{x+5})}$

7. anonymous

$\frac{ x+21 }{ x-11\sqrt{x+5} }$

8. anonymous

Then I would plug in the the value and solve, correct?

9. anonymous

Check your multiplication. You need to expand the numerator, but no need to expand the denominator.

10. anonymous

$\frac{ \sqrt{x+5}-4 }{ x-11 } \times \frac{\sqrt{x+5}+4}{\sqrt{x+5}+4}$