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Earn +20 ptsQ: Why is 121 a perfect square?
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Is 111 a perfect square?
Since no integer multiplied by itself can yield 111, it is not a perfect square. 121, however, is a perfect square. Its square root is 11.
When 96 is added to a perfect square another perfect square is obtained How many such pairs of perfect squares exist?
96 + 4 = 100 96 + 25 = 121 96 + 100 = 196 96 + 529 = 625
List all the perfect square between 100 and 200?
121, 144, 169, 196
What is the square root of 121?
The square roots of 121 are 11 and -11.
What pair of square numbers give the difference of 105?
Call the integer square roots of the specified pair of numbers l and g for lesser and greater respectively. Then, from the problem statement, g2 - l2 = 105. Possible values for l2 are successively 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, .... , and corresponding values for g2 are 106, 109, 114, 121, ... etc. The first of the latter series that is a perfect square number is 121. Therefore, the square numbers are 121 and 16.
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