What 2 square numbers subtract to make 2960?

What two square numbers subtract to make 2960? In other words, when you subtract one square number from another square number, the answer is 2960. 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 = 2960

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

57² - 17² = 2960

57² is 3249 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 2960?" is 3249 and 289 as illustrated below:

3249 - 289 = 2960

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 2960. Below we list alternate solutions if available.

7056 - 4096 = 2960
23409 - 20449 = 2960
35721 - 32761 = 2960

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