What 2 square numbers subtract to make 8619?

What two square numbers subtract to make 8619? In other words, when you subtract one square number from another square number, the answer is 8619. 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 = 8619

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

110² - 59² = 8619

110² is 12100 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 8619?" is 12100 and 3481 as illustrated below:

12100 - 3481 = 8619

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 8619. Below we list alternate solutions if available.

16900 - 8281 = 8619
68644 - 60025 = 8619
114244 - 105625 = 8619

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