Question

If x=√2-1 then find the value of (x- 1/x )3

Answer 1

Answer;   may the answer help u (if it usefull then follow me)

Step-by-step e

x=$\sqrt2$-1

(x-1/x)3=($x^{2}$-1/x)3

           =($(\sqrt2-1)^2$-1/$\sqrt2-1$)3

            =(2+1-2$\sqrt2$ -1/$\sqrt{2$-1)3

            =(2+2$\sqrt2$/$\sqrt{2$-1)3

             =3.2(1+$\sqrt{2$)/$\sqrt2$-1

             =6(1+$\sqrt{2$)/$\sqrt{2$-1