Question

if x=root 2+1 ,find the value of x+1/x

Answer 1

(√2+1)^2+1/√2+1
2+1+4+1/√2+1
8/√2+1 ×√2-1/√2-1
8√2+8/2-1
8√2+8
is your answers

Answer 2

Answer:

The value of the expression is 2.83

Step-by-step explanation:

The value of x is given to be : x = √2 + 1

Now, we need to find the value of the given expression :

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

The value of the required expression can be found easily by substituting the value of x = √2 + 1 in the expression

So, The value is :

$=x+\frac{1}{x}\\\\=(\sqrt{2}+1)+\frac{1}{(\sqrt{2}+1)}\\\\= \frac{(\sqrt{2}+1)^2+1}{\sqrt{2}+1}\\\\ =\frac{2+1+2 \sqrt{2}+1}{\sqrt{2}+1}\\\\=\frac{4+2\sqrt{2}}{\sqrt{2}+1}\\\\=2.83$