Question

if X equal to square root 2 + 1 find value of x plus one upon x​

Answer 1

x = $\sqrt{2 + 1}$

then,

$\frac{x + 1}{x}$ = ?

Answer :

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

[ Rationalize the denominator]

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

=> $\frac{2 - 1 + 1}{1}$

=> 2