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Question
Simplify by rationalising the denominator in the following.
`(1)/(sqrt(3) + sqrt(2))`
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Solution
`(1)/(sqrt(3) + sqrt(2))`
= `(1)/(sqrt(3) + sqrt(2)) xx (sqrt(3) - sqrt(2))/(sqrt(3) - sqrt(2)`
= `(sqrt(3) - sqrt(2))/((sqrt(3))^2 - (sqrt(2))^2)`
= `(sqrt(3) - sqrt(2))/(3 - 2)`
= `(sqrt(3) - sqrt(2))/(1)`
= `sqrt(3) - sqrt(2)`
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