What 2 square numbers subtract to make 8659?

What two square numbers subtract to make 8659? In other words, when you subtract one square number from another square number, the answer is 8659. 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 = 8659

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

622² - 615² = 8659

622² is 386884 and 615² is 378225, therefore the answer to the question "What 2 square numbers subtract to make 8659?" is 386884 and 378225 as illustrated below:

386884 - 378225 = 8659

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 8659. Below we list alternate solutions if available.

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