Question

rationalize the numerator:
(sqrt(x)-sqrt(x+h))/ ((h)(sqrt(x))(sqrt(x+h)))

Answer 1

\[(\sqrt{x}-\sqrt{x+h})/(h \sqrt{x}\sqrt{x+h})\]

Answer 2

joey multiply and divide by (x^1/2 + (x-h)^1/2)

Answer 3

wait, so I multiply (x^1/2+(x-h)^1/2) not (x^1/2-(x+h)^1/2)

Answer 4

yes you do

Answer 5

let me give u a hint ;)
(a+b)(a-b)=a^2-b^2

Answer 6

that is the difference of squares, You use that to rationalize?

Answer 7

If I multiply the top by it, it will come up wit x-(x+h)^1/2(x-h)^1/2
That is still not rationalized?

Answer 8

hey let me tell u what numerator becomes x - x +h =h

Answer 9

yes, I know it should be h in the numerator but i can figure out how.
x^(1/2)-(x+h)^(1/2) (then I times by) x^(1/2) + (x-h)^(1/2)?
hx^(1/2)(x+h)^(1/2) (then I times by) x^(1/2) + (x-h)^(1/2)?

Answer 10

oh. Ok, Then for the denominator do I have it set up right or no?

Answer 11

just simplify

Answer 12

u get h cancelled

Answer 13

ok, thank you for all of your help

Answer 14

:)