What 2 square numbers subtract to make 671?

What two square numbers subtract to make 671? In other words, when you subtract one square number from another square number, the answer is 671. 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 = 671

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

36² - 25² = 671

36² is 1296 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 671?" is 1296 and 625 as illustrated below:

1296 - 625 = 671

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 671. Below we list alternate solutions if available.

112896 - 112225 = 671

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