Question

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

9604

Answer 1

9604

$\begin{array}{cc}2& 9604\\ 2& 4802\\ 7& 2401\\ 7& 343\\ 7& 49\\ 7& 7\\ & 1\end{array}$

$\Rightarrow \sqrt{9604}=\sqrt{2\times 2\times 7\times 7\times 7\times 7}=2\times 7\times 7=98$