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Rationalise the denominator of 1/(7+3sqr...

Rationalise the denominator of `1/(7+3sqrt(2))`

Text Solution

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Let us start by,
`17/(3√2-1)xx(3√2+1)/(3√2-1)`
=`(17(3√2+1))/((3√2)^(2)-( 1^2 )`
=`(17(3√2+1))/((9xx2)-1^2 )`
=`(17(3√2+1))/(18-1)`
=`(17(3√2+1))/17`
=`(3√2+1)`
Thus `17/(3√2-1)`=`(3√2+1)`
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