What 2 square numbers subtract to make 8624?

What two square numbers subtract to make 8624? In other words, when you subtract one square number from another square number, the answer is 8624. 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 = 8624

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

93² - 5² = 8624

93² is 8649 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 8624?" is 8649 and 25 as illustrated below:

8649 - 25 = 8624

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 8624. Below we list alternate solutions if available.

11025 - 2401 = 8624
14400 - 5776 = 8624
28224 - 19600 = 8624

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What 2 square numbers subtract to make 8625?
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