Question

Using prime factorization, find the square root of 11025.

Answer 1

$\begin{array}{cc}3& 11025\\ 3& 3675\\ 5& 1225\\ 5& 245\\ 7& 49\\ 7& 7\\ & 1\end{array}$
Now, $11025=\underset{–}{3\times 3}\times \underset{–}{5\times 5}\times \underset{–}{7\times 7}$
$\therefore$ Square root of $11025=\sqrt{11025}=3\times 5\times 7=105$