Question

Find the square roots of 1764 by the Prime Factorization Method.

Answer 1

1764

$\sqrt{1764}=\sqrt{2\times 2\times 3\times 3\times 7\times 7}=2\times 3\times 7=42\begin{array}{cc}2& 1764\\ 2& 882\\ 3& 441\\ 3& 147\\ 7& 49\\ 7& 7\\ & 1\end{array}$