What 2 square numbers subtract to make 9036?

What two square numbers subtract to make 9036? In other words, when you subtract one square number from another square number, the answer is 9036. 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 = 9036

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

260² - 242² = 9036

260² is 67600 and 242² is 58564, therefore the answer to the question "What 2 square numbers subtract to make 9036?" is 67600 and 58564 as illustrated below:

67600 - 58564 = 9036

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 9036. Below we list alternate solutions if available.

571536 - 562500 = 9036

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