Question

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

Answer 1

Step-by-step explanation:

x=1-√2

1/x= -(1+√2)......on rationalisation

x-1/x=1-√2-(-(1+√2))

x-1/x=1-√2+1+√2

x-1/x= 2

(x-1/x)³=2³

(x-1/x)³=8

Answer 2

Answer:

If x=1-√2 then clearly 1/x=-(1+√2)

then (x-1/x) ^3 =[(1-√2)-{-(1+√2)}]^3

=[1-√2+1+√2]^3

=[2]^3

=8