Question

Okay, last one...

Answer 1

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

Answer 2

gimmick is to rationalize the numerator

Answer 3

rationalize the numerator

Answer 4

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

Answer 5

Multiply by \(\frac{\sqrt{x+5}+4}{\sqrt{x+5}+4}\)

Answer 6

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

Answer 7

\[\frac{ x+21 }{ x-11\sqrt{x+5} }\]

Answer 8

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

Answer 9

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

Answer 10

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