Question

If x=3+2√2 find the value of x+1/x​

Answer 1

Step-by-step explanation:

let = 1 / x = 1 / 3+2 root 2

1 / 3+2 root 2 × 3-2 root 2 / 3- 2 root 2

3-2 root 2 / (3)^2 -(2 root 2 )^2

3-2 root 2 / 9 -8

3-2 root 2

the value of x+ 1/ x

( 3-2 root 2 )+ (3 +2 root 2)

3+3= 6 answer

Answer 2

$x = 3 + 2 \sqrt{2} \\ \frac{1}{x} = \frac{1}{3 - 2 \sqrt{2} } \\ \frac{1}{x} = \frac{3 - 2 \sqrt{2} }{9 - 8} \\ \frac{1}{x} = 3 - 2 \sqrt{2} \\ \\ x + \frac{1}{x} = 6$