Question

Find the square roots of the following number by the Prime Factorization method:
729

Answer 1

729

$\sqrt{729}=\sqrt{3\times 3\times 3\times 3\times 3\times 3}=3\times 3\times 3=27\begin{array}{cc}3& 729\\ 3& 243\\ 3& 81\\ 3& 27\\ 3& 9\\ 3& 3\\ & 1\end{array}$