What 2 square numbers subtract to make 2913?

What two square numbers subtract to make 2913? In other words, when you subtract one square number from another square number, the answer is 2913. 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 = 2913

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

487² - 484² = 2913

487² is 237169 and 484² is 234256, therefore the answer to the question "What 2 square numbers subtract to make 2913?" is 237169 and 234256 as illustrated below:

237169 - 234256 = 2913

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 2913. Below we list alternate solutions if available.

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