Question

If x = 5 - 2√6, find whether x + 1/ x

Answer 1

!! Hey Mate !!

your answer is ---

Given,

$x = 5 - 2 \sqrt{6}$

so,

$\frac{1}{x} = \frac{1}{(5 - 2 \sqrt{6)} } = 5 + 2 \sqrt{6}$

( rationalize it )

Now,

$x + \frac{1}{x} = 5 - 2 \sqrt{6} + 5 + 2 \sqrt{6} \\ \\ = 10$

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Hope it helps you
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