Question

Please show me how to Rationalize the Denominators, assuming all the numbers under ther radicals are positive numbers.
√x-√y/√x+√y

Answer 1

\[\frac{x-2\sqrt{xy}+y}{x-y}\]

Answer 2

What's with you just giving answers?

Answer 3

\[\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}\]
\[\frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}+\sqrt{y}}\times \frac{\sqrt{x}-\sqrt{y}}{\sqrt{x}-\sqrt{y}}\]
\[\frac{x-y-2\sqrt{xy}}{x-y}\]

Answer 4

is that -y in the numerator @sat?

Answer 5

LOL @ nanie.
that's a secret.

Answer 6

nah it is wrong i made a mistake

Answer 7

Yes

Answer 8

And thanks, this is finals week!

Answer 9

\[\frac{x+y-2\sqrt{xy}}{x-y}\]

Answer 10

that's right now! :D

Answer 11

why on earth are finals in october?

Answer 12

Want to finish the rest? I only have 16 left. Finals for the term

Answer 13

lol post away, might as well get them over with

Answer 14

LOL.

Answer 15

express using a positive exponents.
y^-5

Answer 16

\[\frac{1}{y^5}\]

Answer 17

yay

Answer 18

xD

Answer 19

This I am checking the answer on. Factor completely
(7x+2)(9x^2+9x+2)

Answer 20

isnt it factored?

Answer 21

sat:
explain why it is necessary to have common denominators when adding or subtracting rational expressions.

Answer 22

What kind of calculator do you have.

Answer 23

Mind calculator! :D

Answer 24

says multiply and simplify

Answer 25

mental one, also and abacus, but i rarely use is

Answer 26

i will solve this on Abacus.

Answer 27

Right!!

Answer 28

\[63 x^3+81 x^2+32 x+4 \]

Answer 29

\[(3 x+1) (3 x+2) (7 x+2)\]

Answer 30

said "factor" right?

Answer 31

Yep

Answer 32

no it said: says multiply and simplify

Answer 33

This I am checking the answer on. Factor completely (7x+2)(9x^2+9x+2)

Answer 34

thats right Sorry

Answer 35

Sat, please answer mine as well. :(

Answer 36

multiply, or factor?

Answer 37

@saifoo what question? why do you need a common denominator? for the same reason you need a common denominator when you add
\[\frac{1}{2}+\frac{1}{3}\]

Answer 38

multiply and simplify

Answer 39

lol, that is not the right answer man.

Answer 40

Factor this
16c²-49

Answer 41

\[(4 c-7) (4 c+7) \]

Answer 42

lol, we are doing all your mathlab hw.

Answer 43

I got -1.75, 1.75?

Answer 44

wrong, type exactly how i wrote, you will great it right.