What 2 square numbers subtract to make 3088?

What two square numbers subtract to make 3088? In other words, when you subtract one square number from another square number, the answer is 3088. 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 = 3088

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

197² - 189² = 3088

197² is 38809 and 189² is 35721, therefore the answer to the question "What 2 square numbers subtract to make 3088?" is 38809 and 35721 as illustrated below:

38809 - 35721 = 3088

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 3088. Below we list alternate solutions if available.

150544 - 147456 = 3088
597529 - 594441 = 3088

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