Question

iif x=3+√8 then find the value of x^2+1/x^2

please answer me and don't copy from Gooogle​​

Answer 1

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Step-by-step explanation:

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Answer 2

Answer:

$(3 + \sqrt{ {8}^{2} } ) + \frac{1}{(3 + \sqrt{ {8}^{2} } } )$

$(17 + 6 \sqrt{8} + \frac{1}{17 + 6 \sqrt{8} }$

$rationalize \: the \: denominator \: of \:1 \ 17 + 6 \sqrt{8}$

$= \frac{1}{17 + 6 \sqrt{8} } \times \frac{17 - 6 \sqrt{8} }{17 - 6 \sqrt{8} }$

$= \frac{17 - 6 \sqrt{8} }{289 - 288}$

$= \frac{17 - 6 \sqrt{8} }{1}$

$now \: we \: will \: put \: this \: rationalised \: value \: in \: above \: equation.$

$= 17 + 6 \sqrt{8} + 17 - 6 \sqrt{8}$

$cancel \: the \: like \: terms \:$

$= 17 + 17$

$= 34 \: is \: the \: answer.$