What 2 square numbers subtract to make 5072?

What two square numbers subtract to make 5072? In other words, when you subtract one square number from another square number, the answer is 5072. 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 = 5072

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

321² - 313² = 5072

321² is 103041 and 313² is 97969, therefore the answer to the question "What 2 square numbers subtract to make 5072?" is 103041 and 97969 as illustrated below:

103041 - 97969 = 5072

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 5072. Below we list alternate solutions if available.

404496 - 399424 = 5072

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