Question

if x = under route 2 +1,then the value of x + 1/x is ​

Answer 1

Answer:

2√2

Step-by-step explanation:

$x = \sqrt{2} + 1 \\ \frac{1}{x} = \frac{1}{ \sqrt{2} + 1 }$

Rationalisation,

$\frac{1}{x} = \frac{1 \times \sqrt{2} - 1 }{ \sqrt{2} + 1 \times \sqrt{2} - 1 } \\ \frac{1}{x} = \frac{ \sqrt{2} - 1 }{2 - 1}$

Hence, x + 1/x = √2 + 1 + √2 - 1

= 2√2