Is $\sqrt{2}$ a rational number?

Find the $HCF$ and $LCM$ of $6$,$72$,and $120$ using the prime factorization method.

The prime factorization of $30$ can be written as: $(A)$ $5 \times 6$,$(B)$ $10 \times 3$,$(C)$ $2 \times 3 \times 5$,$(D)$ $1 \times 30$

For the polynomial $p(x) = x^2 - 4x + 3$,the value of $\alpha + \beta$ is . . . . . . .

The product of any three consecutive positive integers is always divisible by . . . . . . .

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