What 2 square numbers subtract to make 5200?

What two square numbers subtract to make 5200? In other words, when you subtract one square number from another square number, the answer is 5200. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 5200

We solved the equation above and found this to be true:

76² - 24² = 5200

76² is 5776 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 5200?" is 5776 and 576 as illustrated below:

5776 - 576 = 5200

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 5200. Below we list alternate solutions if available.

5929 - 729 = 5200
7225 - 2025 = 5200
12769 - 7569 = 5200

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