The following numbers are not perfect squares. Give reason.(i) 1057
Question
The following numbers are not perfect squares. Give reason.(i) 1057
Solution
A perfect square is a number that can be expressed as the product of an integer with itself. For example, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on are perfect squares because they can be expressed as 11, 22, 33, 44, 55, 66, 77, 88, 99, 1010, 1111, 1212 respectively.
To determine if 1057 is a perfect square, we need to find a whole number that, when multiplied by itself, equals 1057.
The square root of 1057 is approximately 32.52691. Since this is not a whole number, we can conclude that 1057 is not a perfect square. If it were a perfect square, its square root would be a whole number.
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