What 2 square numbers subtract to make 3232?

What two square numbers subtract to make 3232? In other words, when you subtract one square number from another square number, the answer is 3232. 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 = 3232

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

109² - 93² = 3232

109² is 11881 and 93² is 8649, therefore the answer to the question "What 2 square numbers subtract to make 3232?" is 11881 and 8649 as illustrated below:

11881 - 8649 = 3232

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 3232. Below we list alternate solutions if available.

42436 - 39204 = 3232
164836 - 161604 = 3232
654481 - 651249 = 3232

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