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Question
Which of the following number square of even number?
5476
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Solution
The numbers whose last digit is odd can never be the square of even number. use prime factorisation method and make pairs of equal factor.
5476 = 2 x 2 x 37 x 37
= (2 x 2) x (37 x 37)
There are no factors that are not paired. Hence, 5476 is a perfect square. The square of an even number is always even. Hence, 5476 is the square of an even number.
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