What 2 square numbers subtract to make 2488?

What two square numbers subtract to make 2488? In other words, when you subtract one square number from another square number, the answer is 2488. 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 = 2488

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

313² - 309² = 2488

313² is 97969 and 309² is 95481, therefore the answer to the question "What 2 square numbers subtract to make 2488?" is 97969 and 95481 as illustrated below:

97969 - 95481 = 2488

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 2488. Below we list alternate solutions if available.

388129 - 385641 = 2488

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