Question

If x = 1-√2,
Find (x-1/x)^3​

Answer 1

Answer:

Answer is 8

Step-by-step explanation:

Answer 2

Please mark as brainliest!

Answer:

$8$

Step-by-step explanation:

$\frac1x=\frac1{1-\sqrt2}=\frac1{1-\sqrt2}\cdot\frac{1+\sqrt2}{1+\sqrt2}=-1-\sqrt2\\x-\frac1x=\big(1-\sqrt2\big)-\big(-1-\sqrt2\big)=2\\\Big(x-\frac1x\Big)^3=2^3=8$