The value of $\sqrt{1+1}$ is . . . . . . (Rational,Irrational,Integer).

The remainder when the square of any positive integer $a$ is divided by $6$ cannot be which of the following? $(1, 3, 4)$

Express the number $5005$ as a product of its prime factors.

Which of the following is an irrational number?

Which of the following is not a polynomial in variable $x$?

Which of the following rational numbers has a non-terminating repeating decimal expansion? $(A)$ $\frac{17}{32}$,$(B)$ $\frac{17}{248}$,$(C)$ $\frac{17}{160}$