Question

if y=3-2 root 2 , find y^2+1/y^2

Answer 1

Answer:

$y = 3 - 2 \sqrt{2} \\ now \: {y}^{2} + \frac{1}{ {y}^{2} } \\ = > {(3 - 2 \sqrt{2}) }^{2} + \frac{ 1}{ {(3 - 2 \sqrt{2}) }^{2} } \\ = > 9 + 8 - 12 \sqrt{2} + \frac{1}{9 + 8 - 12 \sqrt{2} } \\ = > 17 - 12 \sqrt{2} + \frac{1}{17 - 12 \sqrt{2} } \\ = > \frac{( {17 - 12 \sqrt{2}) }^{2} + 1 }{17 - 12 \sqrt{2} } \\ = > \frac{289 + 288 - 72 \sqrt{2} + 1 }{17 - 12 \sqrt{2} } \\ = > \frac{578 - 72 \sqrt{2} }{17 - 12 \sqrt{2} }$

Step-by-step explanation:

hope this helps.

plz mark as brainliest answer. just click on the option-mark as brainliest. and please mark me as brainliest answer.