What 2 square numbers subtract to make 2315?

What two square numbers subtract to make 2315? In other words, when you subtract one square number from another square number, the answer is 2315. 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 = 2315

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

234² - 229² = 2315

234² is 54756 and 229² is 52441, therefore the answer to the question "What 2 square numbers subtract to make 2315?" is 54756 and 52441 as illustrated below:

54756 - 52441 = 2315

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 2315. Below we list alternate solutions if available.

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