What 2 square numbers subtract to make 2511?

What two square numbers subtract to make 2511? In other words, when you subtract one square number from another square number, the answer is 2511. 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 = 2511

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

56² - 25² = 2511

56² is 3136 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 2511?" is 3136 and 625 as illustrated below:

3136 - 625 = 2511

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 2511. Below we list alternate solutions if available.

3600 - 1089 = 2511
20736 - 18225 = 2511
176400 - 173889 = 2511

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