Question

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

4096

Answer 1

4096

$\begin{array}{cc}2& 4096\\ 2& 2048\\ 2& 1024\\ 2& 512\\ 2& 256\\ 2& 128\\ 2& 64\\ 2& 32\\ 2& 16\\ 2& 8\\ 2& 4\\ 2& 2\\ & 1\end{array}$

$\Rightarrow \sqrt{4096}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}=2\times 2\times 2\times 2\times 2\times 2=64$