What 2 square numbers subtract to make 8588?

What two square numbers subtract to make 8588? In other words, when you subtract one square number from another square number, the answer is 8588. 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 = 8588

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

132² - 94² = 8588

132² is 17424 and 94² is 8836, therefore the answer to the question "What 2 square numbers subtract to make 8588?" is 17424 and 8836 as illustrated below:

17424 - 8836 = 8588

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 8588. Below we list alternate solutions if available.

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