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प्रश्न
Simplify by rationalising the denominator in the following.
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
उत्तर
`(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)`
= `(3sqrt(5) + sqrt(7))/(3sqrt(5) - sqrt(7)) xx (3sqrt(5) + sqrt(7))/(3sqrt(5) + sqrt(7)`
= `((3sqrt(5) + sqrt(7))^2)/((3sqrt(5))^2 - (sqrt(7))^2`
= `(45 + 7 + 6sqrt(35))/(45 - 7)`
= `(52 + 6sqrt(35))/(38)`
= `(26 + 3sqrt(35))/(19)`
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