## 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. dumbcow

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

4. anonymous

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

5. anonymous

I just don't know how :(

6. dumbcow

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

7. dumbcow

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

8. dumbcow

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

9. dumbcow

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. dumbcow

12. anonymous

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

13. dumbcow

click on blue button to right of your name

14. anonymous

?

15. dumbcow

where it says "0medals for this answerer"

16. dumbcow

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

17. anonymous

Yeah, maybe.

18. dumbcow

heres one for you though

19. anonymous

Thank you!