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Question
Simplify by rationalising the denominator in the following.
`(5)/(sqrt(7) - sqrt(2))`
Solution
`(5)/(sqrt(7) - sqrt(2))`
= `(5)/(sqrt(7) - sqrt(2)) xx (sqrt(7) + sqrt(2))/(sqrt(7) + sqrt(2)`
= `(5(sqrt(7) + sqrt(2)))/((sqrt(7))^2 + (sqrt(2))^2)`
= `(5(sqrt(7) + sqrt(2)))/(7 - 2)`
= `(5(sqrt(7) + sqrt(2)))/(5)`
= `sqrt(7) + sqrt(2)`
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