Question

rationalise the denominator root 11-7 by root 11+7

Answer 1

Answer:

9 - $\sqrt{77}$ / 2

Step-by-step explanation:

$\sqrt{11-7} / \sqrt{11+7}\\ \\= \sqrt{(11-7)(11-7)} / \sqrt{(11+7)(11-7)}\\\\\\= 11 - 2\sqrt{77} + 7 / \sqrt{(11)^{2}} - \sqrt{(7)^{2}}\\\\= 18 - 2\sqrt{77} / 11 - 7\\\\= 2 (9 - \sqrt{77}) / 4\\\\= (9 - \sqrt{77}) / 2$

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