What 2 square numbers subtract to make 3997?

What two square numbers subtract to make 3997? In other words, when you subtract one square number from another square number, the answer is 3997. 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 = 3997

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

289² - 282² = 3997

289² is 83521 and 282² is 79524, therefore the answer to the question "What 2 square numbers subtract to make 3997?" is 83521 and 79524 as illustrated below:

83521 - 79524 = 3997

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 3997. Below we list alternate solutions if available.

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