## anonymous 5 years ago Hey, how can I simplify this? ((sqrt(x))-(1/(sqrt(x)))/(1-(1/(sqrt(x))))

1. Owlfred

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

2. anonymous

$(\sqrt{x}-1/\sqrt{x})/(1-1\sqrt{x)}$

3. anonymous

$\frac{\sqrt{x}-\frac{1}{\sqrt{x}}}{1-\frac{1}{\sqrt{x}}}$ ?

4. anonymous

yes, I need to simplify that to $1+\sqrt{x}$

5. anonymous

I just don't know how :(

6. anonymous

combine fractions on top first $\sqrt{x} - \frac{1}{\sqrt{x}} = \frac{x-1}{\sqrt{x}}$

7. anonymous

then combine fractions on bottom $1-\frac{1}{\sqrt{x}} = \frac{\sqrt{x}-1}{\sqrt{x}}$

8. anonymous

use rule when dividing fractions Flip and Multiply $=\frac{x-1}{\sqrt{x}}*\frac{\sqrt{x}}{\sqrt{x}-1}$

9. anonymous

sqrt(x) cancel remember $x^{2} -1 = (x-1)(x+1)$ so $x-1 = (\sqrt{x}-1)(\sqrt{x}+1)$

10. anonymous

Wow Thank you so much.

11. anonymous

12. anonymous

How do I place this as a "good answer"?

13. anonymous

click on blue button to right of your name

14. anonymous

?

15. anonymous

where it says "0medals for this answerer"

16. anonymous

maybe it doesnt show up for you yet it this first time on

17. anonymous

Yeah, maybe.

18. anonymous

heres one for you though

19. anonymous

Thank you!