What 2 square numbers subtract to make 8620?

What two square numbers subtract to make 8620? In other words, when you subtract one square number from another square number, the answer is 8620. 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 = 8620

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

436² - 426² = 8620

436² is 190096 and 426² is 181476, therefore the answer to the question "What 2 square numbers subtract to make 8620?" is 190096 and 181476 as illustrated below:

190096 - 181476 = 8620

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 8620. Below we list alternate solutions if available.

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