Question

what is the square root of 225

Answer 1

Answer:

15

 

Step-by-step explanation:

We can find the square root of 225 by the process of prime factorisation.

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

so,

225 = 5 × 5 × 3 × 3

Now,

so,

$\bf \sqrt{225}\\\\=\sqrt{ \underline{5 \times 5} \times \underline{3\times 3 }}\\\\=5 \times 3\\\\=15$

Hence, The square root of 225 is 15.

Answer 2

Answer: 15

Step-by-step explanation: square roots are formed when any number is multiplied by itself to form a product. 15 times 15 is 225 hence 15 is the square root of225