What 2 square numbers subtract to make 712?

What two square numbers subtract to make 712? In other words, when you subtract one square number from another square number, the answer is 712. 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 = 712

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

91² - 87² = 712

91² is 8281 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 712?" is 8281 and 7569 as illustrated below:

8281 - 7569 = 712

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 712. Below we list alternate solutions if available.

32041 - 31329 = 712

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