What 2 square numbers subtract to make 8477?

What two square numbers subtract to make 8477? In other words, when you subtract one square number from another square number, the answer is 8477. 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 = 8477

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

111² - 62² = 8477

111² is 12321 and 62² is 3844, therefore the answer to the question "What 2 square numbers subtract to make 8477?" is 12321 and 3844 as illustrated below:

12321 - 3844 = 8477

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 8477. Below we list alternate solutions if available.

370881 - 362404 = 8477

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