Question

pls solve tis question​

Answer 1

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Answer 2

Answer:

$\blue{\mathfrak{\underline{\large{Given}}}:} \\ x = 3 + \sqrt{2} \\ \blue{\mathfrak{\underline{\large{To \: find}}}:} \\ value \: of \: x + \frac{1}{x} = ? \\ \blue{\mathfrak{\underline{\large{Finding}}}:} \\ x + \frac{1}{x} = \frac{ {x}^{2} + 1 }{x} \\ = \frac{ {(3 + \sqrt{2} )}^{2} + 1 }{3 + \sqrt{2} } \\ = \frac{9 + 2 + 6 \sqrt{2} + 1}{3 + \sqrt{2} } \\ = \frac{12 + 6 \sqrt{2} }{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} } \\ = \frac{(12 + 6 \sqrt{2})(3 - \sqrt{2} ) }{ {(3)}^{2} - {(\sqrt{2} )}^{2}} \\ = \frac{36 - 12 \sqrt{2} + 18 \sqrt{2} - 12 }{9 - 2} \\ = \frac{24 + 6 \sqrt{2} }{7} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \blue{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$