What 2 square numbers subtract to make 3213?

What two square numbers subtract to make 3213? In other words, when you subtract one square number from another square number, the answer is 3213. 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 = 3213

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

57² - 6² = 3213

57² is 3249 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 3213?" is 3249 and 36 as illustrated below:

3249 - 36 = 3213

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 3213. Below we list alternate solutions if available.

5329 - 2116 = 3213
7569 - 4356 = 3213
10609 - 7396 = 3213

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