Question

Find the square root of:

(10) 9801

Answer 1

Prime factorisation of 9801:

$\begin{array}{cc}3& 9801\\ 3& 3267\\ 3& 1089\\ 3& 363\\ 11& 121\\ 11& 11\\ & 1\end{array}$

= 3 × 3 × 3 × 3 × 11 × 11
= (3 × 3 × 11)²

∴ Square root of 9801= 3 × 3 × 11 = 99