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Question
Simplify by rationalising the denominator in the following.
`(4 + sqrt(8))/(4 - sqrt(8)`
Solution
`(4 + sqrt(8))/(4 - sqrt(8)`
= `(4 + sqrt(8))/(4 - sqrt(8)) xx (4 + sqrt(8))/(4 + sqrt(8)`
= `((4 + sqrt(8))^2)/((4)^2 - (sqrt(8))^2`
= `(16 + 8 + 8sqrt(8))/(16 - 18)`
= `(24 + 8sqrt(8))/(8)`
= 3 + `sqrt(8)`
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