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Step-by-step explanation:
(i) By prime factorization of 396, we get
396 = 2 x 2 x 3 x 3 x 11
Here, 2 and 3 are in pair, but 11 does not occur in pair. Hence, the given number is not a perfect square.
Thus, 396 needs to be divided by 11 to become a perfect square.
396/11 = 2 x 2 x 3 x 3 x 11/11
36 = (2×2) × (3×3)
Thus, 36 has 2 pairs of equal prime factors. Hence, 36 is a perfect square & √36 = 2×3 = 6
Thus, the required smallest whole number by which it should be divided so as to get a perfect square number is 11 and the square root is √36 = 6.
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