What 2 square numbers subtract to make 2681?

What two square numbers subtract to make 2681? In other words, when you subtract one square number from another square number, the answer is 2681. 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 = 2681

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

195² - 188² = 2681

195² is 38025 and 188² is 35344, therefore the answer to the question "What 2 square numbers subtract to make 2681?" is 38025 and 35344 as illustrated below:

38025 - 35344 = 2681

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 2681. Below we list alternate solutions if available.

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