Question

if X=3-2√2 find the value of x^2+2/x^2​

Answer 1

Answer:

${x}^{2} = {(3 - 2 \sqrt{2} )}^{2} = 9 + 8 - 12 \sqrt{2} = 17 - 12 \sqrt{2} \\ \\ {x}^{4} = 289 + 288 - 408 \sqrt{2} \\ \\ \frac{ {x}^{4} + 2 }{ {x}^{2} } = \frac{579 - 408 \sqrt{2} }{17 - 12 \sqrt{2} }$