Question

Find the square root of 225 by
prime factrorisation​

Answer 1

Answer:

Square root of 225 is 15

Explanation:

$\begin{gathered}\begin{array}{r|l} 5 & 225 \\ \cline{1-2} 5 & 45 \\ \cline{1-2}3 & 9\\ \cline{1-2}3 & 3 \\\cline{1-2} &1 \end{array}\end{gathered}$

$\rm{Factors\ of\ 225} =\underbrace{5\times 5} \times\underbrace{3 \times 3}$

$\sqrt{225} =\sqrt{\underbrace{5\times5}\times\underbrace{3\times3} }$

$\sqrt{225}=5\times 3$

$\sqrt{225}=15$