What 2 square numbers subtract to make 1831?

What two square numbers subtract to make 1831? In other words, when you subtract one square number from another square number, the answer is 1831. 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 = 1831

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

916² - 915² = 1831

916² is 839056 and 915² is 837225, therefore the answer to the question "What 2 square numbers subtract to make 1831?" is 839056 and 837225 as illustrated below:

839056 - 837225 = 1831

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 1831. Below we list alternate solutions if available.

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