What 2 square numbers subtract to make 2391?

What two square numbers subtract to make 2391? In other words, when you subtract one square number from another square number, the answer is 2391. 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 = 2391

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

400² - 397² = 2391

400² is 160000 and 397² is 157609, therefore the answer to the question "What 2 square numbers subtract to make 2391?" is 160000 and 157609 as illustrated below:

160000 - 157609 = 2391

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 2391. Below we list alternate solutions if available.

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