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प्रश्न
. Simplify by rationalising the denominator `(7 + sqrt(6))/(3 - sqrt(2))`
उत्तर
`(7 + sqrt(6))/(3 - sqrt(2)) = ((7 + sqrt(6))(3 + sqrt(2)))/((3 - sqrt(2))(3 + sqrt(2))`
= `(21 + 7sqrt(2) + 3sqrt(6) + sqrt(6)*sqrt(2))/(3^2 - (sqrt(2))^2`
= `(21 + 7sqrt(2) + 3sqrt(6) + sqrt(2 xx 3)*sqrt(2))/(9 - 2)`
= `(21 + 7sqrt(2) + 3sqrt(6) + sqrt(2) * sqrt(3)*sqrt(2))/7`
= `(21 + 7sqrt(2) + 3sqrt(6) + 2sqrt(3))/7`
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