What 2 square numbers subtract to make 2691?

What two square numbers subtract to make 2691? In other words, when you subtract one square number from another square number, the answer is 2691. 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 = 2691

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

54² - 15² = 2691

54² is 2916 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 2691?" is 2916 and 225 as illustrated below:

2916 - 225 = 2691

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 2691. Below we list alternate solutions if available.

4900 - 2209 = 2691
12100 - 9409 = 2691
23716 - 21025 = 2691

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