Question

Question 4 (viii)
Find the square roots of the following numbers by the Prime Factorizationmethod:
9216

Answer 1

9216

$\sqrt{9216}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3}2\times 2\times 2\times 2\times 2\times 3=96\begin{array}{cc}2& 9216\\ 2& 4608\\ 2& 2304\\ 2& 1152\\ 2& 576\\ 2& 288\\ 2& 144\\ 2& 72\\ 2& 36\\ 2& 18\\ 3& 9\\ 3& 3\\ & 1\end{array}$