Question

if x=2+3√2, then find the value of (x+1/x)​

Answer 1

Step-by-step explanation:

$x = 2 + 3 \sqrt{2} \\ now \: x + \frac{1}{x} = 2 + 3 \sqrt{2} + \frac{1}{2 + 3 \sqrt{2} } = \frac{(2 + 3 \sqrt{2} ) ^{2} + 1 }{2 + 3 \sqrt{2} } = \frac{4 + 12 \sqrt{2 } + 18 + 1 }{2 + 3 \sqrt{2} } = \frac{23 + 12 \sqrt{2} }{2 + 3 \sqrt{2} }$