Find the smallest number by which the given number must be multiplied so that the product is a perfect square : (i)23805           (ii)  12150             (iii)   7688

Explanation

To find the smallest number by which the given numbers must be multiplied to make them perfect squares, we will follow these steps for each number:

### (i) For 23805:

1. **Prime Factorization**:
- Divide 23805 by 3:
\[
23805 \div 3 = 7935
...