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Rationalise the denominator of 5/(sqrt(3...

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

Text Solution

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`=5/(sqrt3 - sqrt5) * (sqrt3 + sqrt5)/(sqrt3 + sqrt5)`
`= (5(sqrt3 + sqrt5))/(sqrt3^2 - sqrt5^2)`
`= (5(sqrt3 + sqrt5))/(3-5)`
`=(-5(sqrt3 + sqrt 5))/2`
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