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Question
Simplify by rationalising the denominator in the following.
`(5 + sqrt(6))/(5 - sqrt(6)`
Solution
`(5 + sqrt(6))/(5 - sqrt(6)`
= `(5 + sqrt(6))/(5 - sqrt(6)) xx (5 + sqrt(6))/(5 + sqrt(6)`
= `((5 + sqrt(6))^2)/((5)^2 - (sqrt(6))^2`
= `(25 + 6 + 10sqrt(6))/(25 - 6)`
= `(31 + 10sqrt(6))/(19)`
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