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Rationalise the denominator of 1/(3+sqrt...

Rationalise the denominator of `1/(3+sqrt(2))`

Text Solution

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We have
`(1)/(3+sqrt(2)) = (1)/(3+sqrt(2)) xx((3-sqrt(2)))/((3-sqrt(2))) = ((3-sqrt(2)))/((3)^(2) - (sqrt(2))^(2))`
`=((3-sqrt(2)))/(9-2) = ((3-sqrt(2)))/(7)`
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