What 2 square numbers subtract to make 8604?

What two square numbers subtract to make 8604? In other words, when you subtract one square number from another square number, the answer is 8604. 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 = 8604

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

248² - 230² = 8604

248² is 61504 and 230² is 52900, therefore the answer to the question "What 2 square numbers subtract to make 8604?" is 61504 and 52900 as illustrated below:

61504 - 52900 = 8604

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 8604. Below we list alternate solutions if available.

518400 - 509796 = 8604

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