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

i) 252 = 2 × 2 × 3 × 3 × 7
Therefore, we need to multiply 252 by 7 in order to make it a perfect square.
So, 252 × 7 = 1764
∴ √1764 = 42
ii) 180 = 2 × 2 × 3 × 3 × 5
Therefore, we need to multiply 180 by 5 in order to make it a perfect square.
So, 180 × 5 = 900
∴ √900 = 30
iii) 1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7
Therefore, we need to multiply 1008 by 7 in order to make it a perfect square.
So, 1008 × 7 = 7056
∴ √7056 = 84
iv) 2028 = 2 × 2 × 3 × 13 × 13
Therefore, we need to multiply 2028 by 3 in order to make it a perfect square.
So, 2028 × 3 = 6084
∴ √6084 = 78
v) 1458 = 2 × 3 × 3 × 3 × 3 × 3 × 3
Therefore, we need to multiply 1458 by 2 in order to make it a perfect square.
So, 1458 × 2 = 2916
∴ √2916 = 54
vi) 768 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3
Therefore, we need to multiply 768 by 3 in order to make it a perfect square.
So, 768 × 3 = 2304
∴ √2304 = 48