Question

If x = √2 − 1, find the value of x + 1/x

Answer 1

Answer:

Here is the answer!!

Step-by-step explanation:

Given, x=√2-1

Then, x+1/x

1/x=1/√2-1

1/x=1/√2-1*(√2-1/√2-1)

1/x=√2-1/1

Then, x+1/x

√2-1+(√2-1)

2√2 is the answer

Answer 2

Answer:

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

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

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

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

Step-by-step explanation:

I hope that this helped you.

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