Question

if x =3-2under root 2 find x Square +l upon x Square

Answer 1

$x = 3 - 2 \sqrt{2}$
${x}^{2} = 9 + 8 - 12 \sqrt{2} = 17 - 12 \sqrt{2}$
$\frac{1}{ {x}^{2} } = \frac{1}{17 - 12 \sqrt{2} } = \frac{17 + 12 \sqrt{2}}{289 - 288} by \: rationlisation$
$= 17 + 12 \sqrt{2}$
${x}^{2} + \frac{1}{ {x}^{2} } = 17 - 12 \sqrt{2} + 17 + 12 \sqrt{2}$
$= 34$