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In each of the following determine ratio...

In each of the following determine rational number `a\ a n d\ b :` `(i)\ (sqrt(11)-sqrt(7))/(sqrt(11)+\ sqrt(7))=a-bsqrt(77)` `(ii)\ (4+3sqrt(5))/(4-3sqrt(5))=a+bsqrt(5)`

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To solve the given problems step-by-step, we will rationalize the expressions and compare them to the required forms. ### Part (i): Given expression: \[ \frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b\sqrt{77} \] ...
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