Question

if x=1-√2 then find the value of (x-1/x)³​

Answer 1

Answer:

x=1+2now(x−(x1))3=(1+2−(1+21))3

=[1+2−(2+11)×(2−12−1)]3

=[1+2−(2−1)]3

=(1+2−2+1)3=23=8

Answer 2

Step-by-step explanation:

x= 1-√2

1/x= 1/(1-√2)

1/x= 1+√2/(1-√2)(1+√2)

1/x= (1+√2)/(1²-√2²)

1/x=(1+√2)/(1-2)

1/x= (1+√2)/-1

1/x= -√2-1

(x+1/x)³

{1-√2-(-√2-1)}³

(1-√2+√2+1)³

2³

8

......666.....