What 2 square numbers subtract to make 8565?

What two square numbers subtract to make 8565? In other words, when you subtract one square number from another square number, the answer is 8565. 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 = 8565

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

293² - 278² = 8565

293² is 85849 and 278² is 77284, therefore the answer to the question "What 2 square numbers subtract to make 8565?" is 85849 and 77284 as illustrated below:

85849 - 77284 = 8565

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 8565. Below we list alternate solutions if available.

737881 - 729316 = 8565

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