What 2 square numbers subtract to make 8701?

What two square numbers subtract to make 8701? In other words, when you subtract one square number from another square number, the answer is 8701. 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 = 8701

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

95² - 18² = 8701

95² is 9025 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 8701?" is 9025 and 324 as illustrated below:

9025 - 324 = 8701

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 8701. Below we list alternate solutions if available.

160801 - 152100 = 8701
390625 - 381924 = 8701

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