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Question
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
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Solution
Let `E = (3 + sqrt(2))/(4sqrt(2))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(2)`,
`E = (3 + sqrt(2))/(4sqrt(2)) xx sqrt(2)/sqrt(2)`
= `(3sqrt(2) + (sqrt(2))^2)/(4(sqrt(2))^2`
= `(3sqrt(2) + 2)/(4 xx 2)`
= `(3sqrt(2) + 2)/8`
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