$\sqrt{2}$ is a ........ number.

If $\alpha, \beta$,and $\gamma$ are the zeros of the cubic polynomial $p(x) = ax^3 + bx^2 + cx + d$ where $a \neq 0$,then the product of its zeros $(\alpha \beta \gamma)$ is:

The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is . . . . . . .

From the given factor tree, find the values of $x$ and $y$ respectively.

The last digit of $2^5 \cdot 5^5$ is . . . . . . .

For the zeros $\alpha$ and $\beta$ of the polynomial $p(x) = ax^2 + bx + c$,what is the value of $\frac{1}{\alpha} + \frac{1}{\beta}$?