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Question
Simplify by rationalising the denominator in the following.
`(sqrt(15) + 3)/(sqrt(15) - 3)`
Solution
`(sqrt(15) + 3)/(sqrt(15) - 3)`
= `(sqrt(15) + 3)/(sqrt(15) - 3) xx (sqrt(15) + 3)/(sqrt(15) + 3)`
= `(sqrt(15) + 3)^2/((sqrt(15))^2 - (3)^2`
= `(15 + 9 + 6sqrt(15))/(15 - 9)`
= `(24 + 6sqrt(15))/(6)`
= 4 + `sqrt(15)`
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