What 2 square numbers subtract to make 877?

What two square numbers subtract to make 877? In other words, when you subtract one square number from another square number, the answer is 877. 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 = 877

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

439² - 438² = 877

439² is 192721 and 438² is 191844, therefore the answer to the question "What 2 square numbers subtract to make 877?" is 192721 and 191844 as illustrated below:

192721 - 191844 = 877

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 877. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 878?
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