What 2 square numbers subtract to make 8653?

What two square numbers subtract to make 8653? In other words, when you subtract one square number from another square number, the answer is 8653. 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 = 8653

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

263² - 246² = 8653

263² is 69169 and 246² is 60516, therefore the answer to the question "What 2 square numbers subtract to make 8653?" is 69169 and 60516 as illustrated below:

69169 - 60516 = 8653

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 8653. Below we list alternate solutions if available.

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