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Question
Which of the following number square of even number?
5476
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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