What 2 square numbers subtract to make 1077?

What two square numbers subtract to make 1077? In other words, when you subtract one square number from another square number, the answer is 1077. 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 = 1077

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

181² - 178² = 1077

181² is 32761 and 178² is 31684, therefore the answer to the question "What 2 square numbers subtract to make 1077?" is 32761 and 31684 as illustrated below:

32761 - 31684 = 1077

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 1077. Below we list alternate solutions if available.

290521 - 289444 = 1077

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