Question 1Suppose $\alpha,\beta$ are the real roots of $$x^2+2\sqrt{\sqrt2+1}\,x+\sqrt{\sqrt2+1}=0.$$ Find $\frac1{\alpha^3}+\frac1{\beta^3}$.$3\sqrt{\sqrt2+1}(\sqrt2-1)-8$$8-6\sqrt{\sqrt2+1}(\sqrt2-1)$$3\sqrt{\sqrt2+1}(\sqrt2-1)+8$$6\sqrt{\sqrt2+1}(\sqrt2-1)-8$None of the above.