What 2 square numbers subtract to make 7232?

What two square numbers subtract to make 7232? In other words, when you subtract one square number from another square number, the answer is 7232. 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 = 7232

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

129² - 97² = 7232

129² is 16641 and 97² is 9409, therefore the answer to the question "What 2 square numbers subtract to make 7232?" is 16641 and 9409 as illustrated below:

16641 - 9409 = 7232

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 7232. Below we list alternate solutions if available.

54756 - 47524 = 7232
207936 - 200704 = 7232
820836 - 813604 = 7232

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