What 2 square numbers subtract to make 8621?

What two square numbers subtract to make 8621? In other words, when you subtract one square number from another square number, the answer is 8621. 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 = 8621

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

135² - 98² = 8621

135² is 18225 and 98² is 9604, therefore the answer to the question "What 2 square numbers subtract to make 8621?" is 18225 and 9604 as illustrated below:

18225 - 9604 = 8621

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 8621. Below we list alternate solutions if available.

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