Question

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

Answer 1

Answer:

Step-by-step explanation:

x=1-√2

(x-1/x)cube

x=1-√2 , 1/x=1/1-√2×1+√2/1+√2

1/x=1+√2/(1)-(√2)square

Since (a-b)(a+b)=square -bsquare

1/x=1+√2/1-2

1/x=1+√2/-1

1/x=-(1+√2)

(x-1/x)=(1-√2)-(-(1+√2)

(x-1/x)=1-√2+1+√2

(x-1/x)=2

(x-1/x)cube=2cube

(x-1/x)=8