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Question
Simplify by rationalising the denominator in the following.
`(1)/(5 + sqrt(2))`
Solution
`(1)/(5 + sqrt(2))`
= `(1)/(5 + sqrt(2)) xx (5 - sqrt(2))/(5 - sqrt(2)`
= `(5 - sqrt(2))/((5)^2 - (sqrt(2))^2)`
= `(5 - sqrt(2))/(25 - 2)`
= `(5 - sqrt(2))/(23)`
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