What 2 square numbers subtract to make 3212?

What two square numbers subtract to make 3212? In other words, when you subtract one square number from another square number, the answer is 3212. 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 = 3212

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

84² - 62² = 3212

84² is 7056 and 62² is 3844, therefore the answer to the question "What 2 square numbers subtract to make 3212?" is 7056 and 3844 as illustrated below:

7056 - 3844 = 3212

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 3212. Below we list alternate solutions if available.

646416 - 643204 = 3212

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