What 2 square numbers subtract to make 8980?

What two square numbers subtract to make 8980? In other words, when you subtract one square number from another square number, the answer is 8980. 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 = 8980

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

454² - 444² = 8980

454² is 206116 and 444² is 197136, therefore the answer to the question "What 2 square numbers subtract to make 8980?" is 206116 and 197136 as illustrated below:

206116 - 197136 = 8980

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 8980. Below we list alternate solutions if available.

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