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Question
Simplify by rationalising the denominator in the following.
`(2)/(3 + sqrt(7)`
Solution
`(2)/(3 + sqrt(7)`
= `(2)/(3 + sqrt(7)) xx (3 - sqrt(7))/(3 - sqrt(7)`
= `(2(3 - sqrt(7)))/((3)^2 - (sqrt(7))^2)`
= `(2(3 - sqrt(7)))/(9 - 7)`
= `(2(3 - sqrt(7)))/(2)`
= 3 - `sqrt(7)`
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