Question

if x=1+√2 find ((x)-(1/x))³​

Answer 1

Answer:

8

Step-by-step explanation:

x = 1+√2

1/x = 1/1+√2

rationalize this

1/x = 1-√2/1-2, 1-√2/-1

1/x = -1+√2

(x - 1/x )

(1+√2 -(-1+√2))

1+√2+1-√2

2

value of x-1/x = 2

so, value of ( x- 1/x)^3

(2)^3

2×2×2 = 8 ans