# Fraction with Radical - need to simplify (easy)

1. Apr 5, 2005

### mathatesme

This is probably easy for everyone on this forum but me. Can someone please explain this to me.

I need to simplify this:

(sqrt(x) - 4) / (x - 16))

am I on the right track by doing it this way...

(sqrt(x) - 4) / (sqrt(x) - 4) (sqrt(x) + 4) .....then cancel the (sqrt(x) - 4) in the Numerator and Denominator. To have my final answer be...

sqrt(x) + 4

2. Apr 5, 2005

### dextercioby

You mean

$$\frac{1}{\sqrt{x}+4}$$

Daniel.

3. Apr 5, 2005

### mathatesme

Okay...yeah...1/(sqrt(x)+4)

Is that correct?

And thank you for the fast reply!

4. Apr 5, 2005

### HallsofIvy

Yes, that's correct.

$$x-16= (\sqrt{x}-4)(\sqrt{x}+4)$$

5. Apr 5, 2005

### mathatesme

Thanks.

Thank you, I really appreciate your help! :)