What 2 square numbers subtract to make 4311?

What two square numbers subtract to make 4311? In other words, when you subtract one square number from another square number, the answer is 4311. 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 = 4311

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

244² - 235² = 4311

244² is 59536 and 235² is 55225, therefore the answer to the question "What 2 square numbers subtract to make 4311?" is 59536 and 55225 as illustrated below:

59536 - 55225 = 4311

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 4311. Below we list alternate solutions if available.

518400 - 514089 = 4311

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