What 2 square numbers subtract to make 7632?

What two square numbers subtract to make 7632? In other words, when you subtract one square number from another square number, the answer is 7632. 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 = 7632

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

89² - 17² = 7632

89² is 7921 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 7632?" is 7921 and 289 as illustrated below:

7921 - 289 = 7632

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 7632. Below we list alternate solutions if available.

15376 - 7744 = 7632
29241 - 21609 = 7632
48841 - 41209 = 7632

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What 2 square numbers subtract to make 7633?
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