Question

If x = 1 - √2 , find the value of (x - 1/x)^3​

Answer 1

Answer:

8

Step-by-step explanation:

(x-1/x)^3=

[(1-root2)-(1/1-root2)]^3

[(1-root2×1-root2/1×1-root2)-1/1-root2]^3

[1-root2-root2+4-1/1-root2]^3

(4-2×root2/1-root2)^3

[2(1-root2)/1-root2)^3

(2)^3=8