Question

If. x=1+√2. Then ( x-1/x)³ what?

Answer 1

Answer:

hope it is clear to you please mark as brilliant answer

Answer 2

(+edit: there was an error in the calculation.)

Though the other answer has mistaken the x value, it will lead to a correct answer. In the calculation, we will eventually get to the same answer.

Answer:

$8$

Step-by-step explanation:

$\frac{1}{1+\sqrt{2} } =\frac{\sqrt{2} -1}{1}$ is equal to 1/x.

$1+\sqrt{2} -\sqrt{2} +1=2$ is equal to x-1/x.

Now, let's cube that value: $(x-\frac{1}{x} )^3=2^3=8$