What 2 square numbers subtract to make 8589?

What two square numbers subtract to make 8589? In other words, when you subtract one square number from another square number, the answer is 8589. 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 = 8589

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

215² - 194² = 8589

215² is 46225 and 194² is 37636, therefore the answer to the question "What 2 square numbers subtract to make 8589?" is 46225 and 37636 as illustrated below:

46225 - 37636 = 8589

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 8589. Below we list alternate solutions if available.

380689 - 372100 = 8589

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