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I suspect you are talking about integers here, though you don't say so. These situations are called Pythagorean Triplets (In a triangle with 1 right-angle, the sum of the squares of the smaller sides equals the square of the longer side). The smallest (apart from 0,0 and 0) is 52 = 42 + 32. If you are not talking about integers then there is no limit on smallness (apart from 0,0,0).

Q: What is the smallest square number that is a sum of two square number?

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25 (32 + 42 = 52)

25= 5*5 = (3*3)+(4*4)

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Related questions

25 is a square number, and the sum of 9 and 16 is 25. 9 and 16 are also square numbers.

25 (32 + 42 = 52)

25= 5*5 = (3*3)+(4*4)

10^2 = 6^2 + 8^2 ie 100 = 36 + 64

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There are two solution: -3 and +2.

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The smallest two digit number is 00 (a number used as a wire gauge) and the biggest is 99, so the sum of the biggest and smallest 2-digits numbers is 99 (99 + 00).

1+2=3

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