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

$\sqrt{2}$ is a . . . . . . number. (Rational,Irrational,Prime)

If $\text{HCF}(65, 117) = 65m - 117$,then find the value of $m$.

Find the $HCF$ and $LCM$ of the following pairs of integers and verify that $HCF \times LCM = \text{product of the two numbers}: 26$ and $91$.

Explain why $7 \times 11 \times 13 + 13$ and $7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 + 5$ are composite numbers.

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