Best answer to first answer which is correct.?

Question

how do you rationalise each denominator in:

1
__
(square root) v3


+


1
___
v5



and then express it as a single fraction?


please explain each step carefully and thoroughly.

thanks!
best answer is for first answer which is correct

but if someone answers before you they might not get best answer because their answer might not be as good as yours.

best answer is waiting.

√3/3 + √5/5 = 5√3/15 + 3√5/15 =

(5*√3 + 3*√5)/15

how did you get 5√3/15 + 3√5/15?

:S

what did you multiply together ?

Answer 1

Squaring each fraction would be wrong -- you need to multiply each fraction by one to get a correct answer. That means multiplying 1/√3 by √3/√3 to get √3/3, so:

1/√3 + 1/√5 = √3/3 + √5/5 = 5√3/15 + 3√5/15 =

(5*√3 + 3*√5)/15 = 1.02456386469 . . .

Answer 2

1.025 is the answer, what that is in fractions, I'll check

sqrt 5 + sqrt 3 / (sqrt 5)(sqrt 3)

that's what it adds to, what the fraction adds to. Urrgh!!!!!

Answer 3

1/sqrt(3) = sqrt(3)/3 = 5sqrt3)/15
1/sqrt(5) = sqrt(5)/5 = 3sqrt(5)/15
Thus their sum is [sqrt(3)+sqrt(5)]/15

Answer 4

2nd one is correct.