What 2 square numbers subtract to make 8559?

What two square numbers subtract to make 8559? In other words, when you subtract one square number from another square number, the answer is 8559. 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 = 8559

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

172² - 145² = 8559

172² is 29584 and 145² is 21025, therefore the answer to the question "What 2 square numbers subtract to make 8559?" is 29584 and 21025 as illustrated below:

29584 - 21025 = 8559

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 8559. Below we list alternate solutions if available.

230400 - 221841 = 8559

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