What 2 square numbers subtract to make 2983?

What two square numbers subtract to make 2983? In other words, when you subtract one square number from another square number, the answer is 2983. 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 = 2983

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

88² - 69² = 2983

88² is 7744 and 69² is 4761, therefore the answer to the question "What 2 square numbers subtract to make 2983?" is 7744 and 4761 as illustrated below:

7744 - 4761 = 2983

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 2983. Below we list alternate solutions if available.

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