Question

Find the square root of 729 by prime factorization method. [3 MARKS]

Answer 1

Concept : 1 Mark
Prime factorization : 1 Mark
Conclusion : 1 Mark

Prime factorization of 729.

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

$\therefore 729=\underset{–}{3\times 3}\times \underset{–}{3\times 3}\times \underset{–}{3\times 3}$

So, $\sqrt{729}=3\times 3\times 3=27$