Question

If x=root2+1 then (x+1/x) equals to what?

Answer 1

Answer:

answer for the given problem is given

Answer 2

Step-by-step explanation:

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

=》

$x \: + \: \frac{1}{x} = \: ( \sqrt{2} + 1) + ( \frac{1}{ \sqrt{2} + 1} )$

=》

$x \: + \: \frac{1}{x} = \frac{(2 + 1 + 2 \sqrt{2} ) + 1}{ \sqrt{2} + 1 }$

=》

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

Further you can simplify it by rationalising the denominator...

Hope you understand it..!!!