Question

Question 6 (ii)

For the following number, find the smallest whole number by which it should be divided so as to get a perfect square. Also, find the square root of the square number so obtained:

2925

Answer 1

$\begin{array}{cc}3& 2925\\ 3& 975\\ 5& 325\\ 5& 65\\ 13& 13\\ & 1\end{array}$

$2925=3\times 3\times 5\times 5\times 13$

Here, prime factor 13 has no pair. Therefore, 2925

must be divided by 13 to make it a perfect square.

$2925÷13=225$

And $\sqrt{225}=\sqrt{\overline{3\times 3}\times \overline{5\times 5}}=3\times 5=15$