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The simplest rationalising factor of sqr...

The simplest rationalising factor of `sqrt(3)+ sqrt(5)` is
(a)`sqrt(3)-5` (b) `3-sqrt(5)` (c) `sqrt(3)-sqrt(5)` (d) `sqrt(3)+\ sqrt(5)`

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Solution:
`(sqrt(3)+ sqrt(5))(sqrt(3)- sqrt(5))`
`=>(sqrt(3))^2 - (sqrt(5))^2`
Using identity
`a^(2) -b^(2)=(a+b)(a-b)`
`=>3-5`
`=>-2`
Hence the correct option is option`(c)`
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