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प्रश्न
Which of the following number square of even number?
1296
उत्तर
The numbers whose last digit is odd can never be the square of even number.
use prime factorisation method and make pairs of equal factors.
1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3
= (2 x 2) x (2 x 2) x (3 x 3) x (3 x 3)
There are no factors that are not paired. Hence, 1296 is a perfect square. The square of an even number is always even. Hence, 1296 is the square of an even number.
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