What 2 square numbers subtract to make 8657?

What two square numbers subtract to make 8657? In other words, when you subtract one square number from another square number, the answer is 8657. 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 = 8657

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

399² - 388² = 8657

399² is 159201 and 388² is 150544, therefore the answer to the question "What 2 square numbers subtract to make 8657?" is 159201 and 150544 as illustrated below:

159201 - 150544 = 8657

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 8657. Below we list alternate solutions if available.

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