What 2 square numbers subtract to make 5215?

What two square numbers subtract to make 5215? In other words, when you subtract one square number from another square number, the answer is 5215. 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 = 5215

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

92² - 57² = 5215

92² is 8464 and 57² is 3249, therefore the answer to the question "What 2 square numbers subtract to make 5215?" is 8464 and 3249 as illustrated below:

8464 - 3249 = 5215

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 5215. Below we list alternate solutions if available.

141376 - 136161 = 5215
274576 - 269361 = 5215

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