What 2 square numbers subtract to make 8213?

What two square numbers subtract to make 8213? In other words, when you subtract one square number from another square number, the answer is 8213. 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 = 8213

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

117² - 74² = 8213

117² is 13689 and 74² is 5476, therefore the answer to the question "What 2 square numbers subtract to make 8213?" is 13689 and 5476 as illustrated below:

13689 - 5476 = 8213

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 8213. Below we list alternate solutions if available.

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