What 2 square numbers subtract to make 4632?

What two square numbers subtract to make 4632? In other words, when you subtract one square number from another square number, the answer is 4632. 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 = 4632

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

199² - 187² = 4632

199² is 39601 and 187² is 34969, therefore the answer to the question "What 2 square numbers subtract to make 4632?" is 39601 and 34969 as illustrated below:

39601 - 34969 = 4632

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 4632. Below we list alternate solutions if available.

151321 - 146689 = 4632
337561 - 332929 = 4632

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