Using the prime factorisation method, find which of the following numbers not
perfect squares are.
(i) 768
(ii) 1296
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Answer:
1296 is a perfect square!
Because,
If a number has to be perfect square, then it has to be a power of 2 or the power has to be any even number
798 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
= 2^8 x 3
Hence, it's not a perfect square!
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
= 2⁴ x 3⁴
Hence, it's a perfect square!
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