Question 81
$$x = \frac{2\sqrt{2} + \sqrt{7}}{2\sqrt{2} - \sqrt{7}} \Rightarrow x - \frac{1}{x} =$$
Solution
given that
$$x = \frac{2\sqrt{2} + \sqrt{7}}{2\sqrt{2} - \sqrt{7}}$$
then 1\x = $$\frac{2\sqrt{2} - \sqrt{7}}{2\sqrt{2} - \sqrt{7}}$$
then x - 1\x = 8 + 7 - 15 + 2 $$\times$$ 4 $$\sqrt{14}$$
then $$8\sqrt{14}$$ Answer
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