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If both `a` and `b` are rational numbers, find the values of `a` and `b` in each of the following equalities : `(sqrt(3)-1)/(sqrt(3)+1)=a+bsqrt(3)` (ii) `(3+sqrt(7))/(3-sqrt(7))=a+bsqrt(7)` `(5+2sqrt(3))/(7+4sqrt(3))=a+bsqrt(3)` (iv) `(5+sqrt(3))/(7-4sqrt(3))=47a+sqrt(3)b` `(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+bsqrt(15)` (iv) `(sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-bsqrt(3)`

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