What 2 square numbers subtract to make 8088?

What two square numbers subtract to make 8088? In other words, when you subtract one square number from another square number, the answer is 8088. 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 = 8088

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

343² - 331² = 8088

343² is 117649 and 331² is 109561, therefore the answer to the question "What 2 square numbers subtract to make 8088?" is 117649 and 109561 as illustrated below:

117649 - 109561 = 8088

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 8088. Below we list alternate solutions if available.

458329 - 450241 = 8088

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