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(sqrt5+sqrt3)/(sqrt5-sqrt3)=...

`(sqrt5+sqrt3)/(sqrt5-sqrt3)=`

A

`4+sqrt(15)`

B

`4-sqrt(15)`

C

(1/2)

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
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2/(sqrt5 - sqrt3)

(sqrt3-sqrt5)(sqrt5+sqrt3)

Simplify (sqrt5 - sqrt3)(sqrt5 + sqrt 3)

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

simplify (sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3))

If 2sqrt(x)=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))-(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)), then the value of x is :

x=(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3)) and y=(sqrt(5)-sqrt(3))/(sqrt(5)+sqrt(3)) then find x^(2)+y^(2)=?

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