What 2 square numbers subtract to make 8561?

What two square numbers subtract to make 8561? In other words, when you subtract one square number from another square number, the answer is 8561. 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 = 8561

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

615² - 608² = 8561

615² is 378225 and 608² is 369664, therefore the answer to the question "What 2 square numbers subtract to make 8561?" is 378225 and 369664 as illustrated below:

378225 - 369664 = 8561

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 8561. Below we list alternate solutions if available.

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