Question

if X=1-√2 then find the value of (x-1/X)​whole square

Answer 1

Answer:

x=1-2^1/2

.

..x^2=(1-2^1/2)^2

×^2=1+2+2×(2^1/2)

×^2=3+2×(2^1/2)

1/x=1/(1-2^1/2)

therefore,1/×=-1-2^1/2

1/×^2=3-2×(2^1/2)

(x-1/×)^2=x^2+1/×^2-2

=>3+2×(2^1/2)+3-2(2^1/2)-2

=>6-2

=>4

therefore the value is 4.

I hope I could help you:)