What 2 square numbers subtract to make 2984?

What two square numbers subtract to make 2984? In other words, when you subtract one square number from another square number, the answer is 2984. 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 = 2984

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

375² - 371² = 2984

375² is 140625 and 371² is 137641, therefore the answer to the question "What 2 square numbers subtract to make 2984?" is 140625 and 137641 as illustrated below:

140625 - 137641 = 2984

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 2984. Below we list alternate solutions if available.

558009 - 555025 = 2984

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