Question

Question 4 (v)
Find the square roots of the following numbers by the Prime Factorization method:
7744

Answer 1

7744

$\sqrt{7744}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 11\times 11}2\times 2\times 2\times 11=88\begin{array}{cc}2& 7744\\ 2& 3872\\ 2& 1936\\ 2& 968\\ 2& 484\\ 2& 242\\ 11& 121\\ 11& 11\\ & 1\end{array}$