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Rationalise the denominator of (2)/(sqrt...

Rationalise the denominator of `(2)/(sqrt(3)-sqrt(5))`

Text Solution

Verified by Experts

We have
`(2)/((sqrt(3)-sqrt(5))) = (2)/((sqrt(3)-sqrt5)) xx ((sqrt(3)+sqrt(5)))/((sqrt(3) +sqrt(5)))= (2(sqrt(3) + sqrt(5)))/((sqrt(3))^(2) - (sqrt(5))^(2))`
`=(2(sqrt(3)+sqrt(5)))/(3-5) = (2(sqrt(3)+sqrt(5)))/(-2) = -(sqrt(3)+sqrt(5))`
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