What 2 square numbers subtract to make 4088?

What two square numbers subtract to make 4088? In other words, when you subtract one square number from another square number, the answer is 4088. 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 = 4088

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

87² - 59² = 4088

87² is 7569 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 4088?" is 7569 and 3481 as illustrated below:

7569 - 3481 = 4088

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 4088. Below we list alternate solutions if available.

23409 - 19321 = 4088
263169 - 259081 = 4088

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