What 2 square numbers subtract to make 8587?

What two square numbers subtract to make 8587? In other words, when you subtract one square number from another square number, the answer is 8587. 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 = 8587

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

154² - 123² = 8587

154² is 23716 and 123² is 15129, therefore the answer to the question "What 2 square numbers subtract to make 8587?" is 23716 and 15129 as illustrated below:

23716 - 15129 = 8587

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 8587. Below we list alternate solutions if available.

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