What 2 square numbers subtract to make 3120?

What two square numbers subtract to make 3120? In other words, when you subtract one square number from another square number, the answer is 3120. 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 = 3120

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

56² - 4² = 3120

56² is 3136 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 3120?" is 3136 and 16 as illustrated below:

3136 - 16 = 3120

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 3120. Below we list alternate solutions if available.

3481 - 361 = 3120
4489 - 1369 = 3120
5329 - 2209 = 3120

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