What 2 square numbers subtract to make 7940?

What two square numbers subtract to make 7940? In other words, when you subtract one square number from another square number, the answer is 7940. 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 = 7940

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

402² - 392² = 7940

402² is 161604 and 392² is 153664, therefore the answer to the question "What 2 square numbers subtract to make 7940?" is 161604 and 153664 as illustrated below:

161604 - 153664 = 7940

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 7940. Below we list alternate solutions if available.

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