Question

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

4225​

Answer 1

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

Hope my answer helped u :)

Answer 2

`\boxed{=65}\\`

Explanation:

`\begin{array} c4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\√(4225) \\\\=5^{(2)/(2) }*13^{(2)/(2) }\\\\=5*13\\\\\boxed{=65}\\`