If $x = 2^{1/3} - 2^{-1/3}$,then $2x^3 + 6x = $

If $1-i$ is a root of the equation $x^2+ax+b=0$,then $b$ is equal to

Let $\alpha, \beta$ be the roots of the quadratic equation $12x^{2}-20x+3\lambda=0$, where $\lambda \in \mathbb{Z}$. If $\frac{1}{2} \le |\beta-\alpha| \le \frac{3}{2}$, then the sum of all possible values of $\lambda$ is:

The product of all the real roots of the equation $|x|^2-5|x|+6=0$ is

If $x = 2 + \sqrt{3}$ and $xy = 1$,then $\frac{x}{\sqrt{2} + \sqrt{x}} + \frac{y}{\sqrt{2} - \sqrt{y}} = $

The sum of the fourth powers of the roots of the equation $16x^2-10x+1=0$ is