What 2 square numbers subtract to make 1871?

What two square numbers subtract to make 1871? In other words, when you subtract one square number from another square number, the answer is 1871. 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 = 1871

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

936² - 935² = 1871

936² is 876096 and 935² is 874225, therefore the answer to the question "What 2 square numbers subtract to make 1871?" is 876096 and 874225 as illustrated below:

876096 - 874225 = 1871

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 1871. Below we list alternate solutions if available.

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