What 2 square numbers subtract to make 632?

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What two square numbers subtract to make 632? In other words, when you subtract one square number from another square number, the answer is 632. 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 = 632

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

81² - 77² = 632

81² is 6561 and 77² is 5929, therefore the answer to the question "What 2 square numbers subtract to make 632?" is 6561 and 5929 as illustrated below:

6561 - 5929 = 632

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 632. Below we list alternate solutions if available.

25281 - 24649 = 632

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