What 2 square numbers subtract to make 5637?

What two square numbers subtract to make 5637? In other words, when you subtract one square number from another square number, the answer is 5637. 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 = 5637

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

941² - 938² = 5637

941² is 885481 and 938² is 879844, therefore the answer to the question "What 2 square numbers subtract to make 5637?" is 885481 and 879844 as illustrated below:

885481 - 879844 = 5637

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 5637. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 5638?
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