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Question
The simplest rationalising factor of \[\sqrt{3} + \sqrt{5}\] is ______.
Options
`sqrt3 - 5`
`3 - sqrt5`
`sqrt3 - sqrt5`
`sqrt3 + sqrt5`
Solution
The simplest rationalising factor of `sqrt3 + sqrt5` is `bbunderline(sqrt3 - sqrt5)`.
Explanation:
The simplest rationalising factor of `sqrt3 + sqrt5` is `sqrt3 - sqrt5` as `(sqrta + sqrtb)(sqrta - sqrtb) = a - b`.
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