Question

If x = root2=1 find the value of x + 1/x

Answer 1

Answer:

1

Step-by-step explanation:

x=root 2 =1

=x+1/x

=1+1/1

=2/1

=2

Answer 2

Answer:

$x + \frac{1}{x} = \frac{3}{ \sqrt{2} } = \frac{3 \sqrt{2} }{2}$

Step-by-step explanation:

Given that x = √2

$so \: \: \frac{1}{x} = \frac{1}{ \sqrt{2} }$

So,

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

So,

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

So,

$x + \frac{1}{x} = \frac{3}{ \sqrt{2} } = \frac{3 \sqrt{2} }{ \sqrt{2} \sqrt{2} } = \frac{3 \sqrt{2} }{2}$