For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained.(i) 252               (ii) 180                     (iii) 1008            (iv) 2028(v) 1458            (vi) 768

Explanation

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

### (i) For 252:
1. **Prime Factorization**:
- 252 can be factored as \( 2 \times 2 \times 3 \times 3 \times 7 \).
- This can be written as \( 2^2 \times 3^2 \times 7^1 \).

2. **Identify Missing Pairs**:
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