Question

If a=3+2√2. Find a+1/a

Answer 1

hey mate

here is ur answer

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$\bf given \: a=3+2 \sqrt{2}$

Required to find:

$\bf is \: a+ \frac{1}{a}$

$\bf then \: =3+2 \sqrt{2} + \frac {1}{3+2 \sqrt {2}}$

$\bf by \: solving \: we \: get,$

$\bf = \frac{(3+2 \sqrt{2})^2+1}{3+2 \sqrt {2}} = \frac{18+12 \sqrt{2}}{3+2 \sqrt {2}}$

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hope the answer helps