Question

Hey, how can I simplify this? ((sqrt(x))-(1/(sqrt(x)))/(1-(1/(sqrt(x))))

Answer 1

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!

Answer 2

\[(\sqrt{x}-1/\sqrt{x})/(1-1\sqrt{x)}\]

Answer 3

\[\frac{\sqrt{x}-\frac{1}{\sqrt{x}}}{1-\frac{1}{\sqrt{x}}}\]
?

Answer 4

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

Answer 5

I just don't know how :(

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

Wow Thank you so much.

Answer 11

your welcome

Answer 12

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

Answer 13

click on blue button to right of your name

Answer 14

?

Answer 15

where it says "0medals for this answerer"

Answer 16

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

Answer 17

Yeah, maybe.

Answer 18

heres one for you though

Answer 19

Thank you!