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Question
Simplify by rationalising the denominator in the following.
`(sqrt(5) - sqrt(7))/sqrt(3)`
Solution
`(sqrt(5) - sqrt(7))/sqrt(3)`
= `(sqrt(5) - sqrt(7))/sqrt(3) xx sqrt(3)/sqrt(3)`
= `(sqrt(5) xx sqrt(3) - sqrt(7) xx sqrt(3))/(sqrt(3))^2`
= `(sqrt(15) - sqrt(21))/(3)`
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