Question

Find the value of this question

Answer 1

Answer:

8

Step-by-step explanation:

x = 1 - √2

[x-1/x]^3 = (1 - √2 - 1/1 - √2)^3

Rationalise the denominator in 1/1 - √2

1/1 - √2 * 1 +√2/1 +√2 = 1 +√2/(1)^2-(√2)^2

1 +√2/1-2 = 1 +√2/-1

Since, [x-1/x]^3 = 1 - √2 - 1/1 - √2

= 1 - √2 - (-1 -√2)

= 1 - √2+ 1 + √2

= (2)^3

= 8