Question

Find the square root of the following by prime factorization method.

Answer 1

Answer:

$\boxed{=65}$

Step-by-step explanation:

$\begin{array} {c|c}4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\\sqrt{4225} \\\\=5^{\frac{2}{2} }*13^{\frac{2}{2} }\\\\=5*13\\\\\boxed{=65}$

Answer 2

4225＝5×5×13×13
4225＝(5×13)×(5×13)
4225＝65×65
4225＝65²
√4225＝65

Hope my answer helped u :)