What 2 square numbers subtract to make 1877?

What two square numbers subtract to make 1877? In other words, when you subtract one square number from another square number, the answer is 1877. 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 = 1877

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

939² - 938² = 1877

939² is 881721 and 938² is 879844, therefore the answer to the question "What 2 square numbers subtract to make 1877?" is 881721 and 879844 as illustrated below:

881721 - 879844 = 1877

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 1877. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 1878?
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