For each of the following numbers, 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.(i) 252                 (ii) 2925                  (iii) 396               (iv) 2645(v) 2800              (vi) 1620

Explanation

To solve the problem of finding the smallest whole number by which each given number should be divided to obtain a perfect square, we will follow these steps for each number:

1. **Prime Factorization**: Factor the number into its prime factors.
2. **Identify Unpaired Factors**: Determine which prime factors do not have pairs.
3. **Find the Number to Divide**: The smallest whole number to divide by will be the product of the unpaired prime factors.
4. **Calculate the Perfect Square**: Divide the original number by the identified number to get a perfect square.
5. **Find the Square Root**: Calculate the square root of the perfect square obtained.

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