Factoring a rational number in the numerator

[Ken]

I'm stuck on this problem:

(1/(sqrt of 1+x)-1)/x


I've tried this:

1/(sqrt of 1+x)-1 X (sqrt of 1+x)+1/(sqrt of 1+x)+1

I get:

(sqrt of x+1)+1/x+1-1

I'm stuck there.

Thank you.

 

[stapel]

I'm stuck on this problem: (1/(sqrt of 1+x)-1)/x

What were the instructions? What are you supposed to do with this?

Please be complete. Thank you!

Eliz.

 

[Deleted member 4993]

I'm stuck on this problem:

(1/(sqrt of 1+x)-1)/x

I suppose you need to simplify the above expression:

{1/(sqrt of 1+x)-1)}/x

= {sqrt(1+x)/(1+x) - 1}/x

= How far do you need to go....

I've tried this:

1/(sqrt of 1+x)-1 X (sqrt of 1+x)+1/(sqrt of 1+x)+1

I get:

(sqrt of x+1)+1/x+1-1

I'm stuck there.

Thank you.

 

[Loren]

(1/(sqrt of 1+x)-1)/x means \(\displaystyle \frac{\frac{1}{\sqrt{1}+x}-1}{x}\)
Is that what you are after?