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, we will follow these steps for each number:

### (i) For 252:
1. **Prime Factorization**:
- 252 is divisible by 2: \( 252 \div 2 = 126 \)
- 126 is divisible by 2: \( 126 \div 2 = 63 \)
- 63 is divisible by 3: \( 63 \div 3 = 21 \)
- 21 is divisible by 3: \( 21 \div 3 = 7 \)
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