What 2 square numbers subtract to make 3351?

What two square numbers subtract to make 3351? In other words, when you subtract one square number from another square number, the answer is 3351. 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 = 3351

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

560² - 557² = 3351

560² is 313600 and 557² is 310249, therefore the answer to the question "What 2 square numbers subtract to make 3351?" is 313600 and 310249 as illustrated below:

313600 - 310249 = 3351

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 3351. Below we list alternate solutions if available.

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