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If both `a\ a n d\ b` are rational numbers, find the values of `a\ a n d\ b` in each of the following equalities: `(3+sqrt(7))/(3-sqrt(7))=a+bsqrt(7)`

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Given,`(3+sqrt(7))/(3-sqrt(7))xx(3+sqrt(7))/(3+sqrt(7))`
`=>(3+sqrt(7))^2/(3^2-sqrt (7)^2`
`=>(9+7+6 sqrt(7))/(9-7)`
`=>(16+6 sqrt(7))/2`
`=>(8+3 sqrt(7))=a+bsqrt(7)`
`=>a=8, b=3`
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