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242=576 and this is the first square number after 540. Remember that a square number is one that results from multiplying some natural number by itself. So if we multiply 2x2 it is 4 and 4 is a square number.

To see that 576 is the correct answer, look at 232 =529. This is less than 540. So if there was another number that was correct, it would have to come from a natural number greater than 23 and less than 24 but there are none. This gives you the answer and proves it it correct.

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The square number after 540 is 576. This is because 24^2 = 576.

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10mo ago
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Q: What is the square number after 540?
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