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02 + 02 = 0; all other numbers squared are greater than 0. Otherwise 25 (= 52) = 32 + 42

62 + 82 = 100

√100 = 10; √1000 ≈ 31.6, so largest square less than 1000 is 312

Between 100 and 1000 there are 31-10 = 21 square numbers (22 if 100 itself is included since 100 = 102)

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Q: What is the smallest square number that is the sum of two square numbers Find two square numbers whose sum is 100 How many square numbers are there between 100 and 1000?
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