Question

Find the value of (x-1/x)^2 if x= 1-√2​

Answer 1

Answer:

8

Step-by-step explanation:

x = 1-√2

1/x = 1/1-√2 = 1+√2/ (1-√2)×(1+√2) = 1+√2/1-2

= -1-√2

x+ 1/x = 1-√2-1-√2 = -2√2

Squaring,

(x+1/x)² = 8