What 2 square numbers subtract to make 4712?

What two square numbers subtract to make 4712? In other words, when you subtract one square number from another square number, the answer is 4712. 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 = 4712

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

69² - 7² = 4712

69² is 4761 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 4712?" is 4761 and 49 as illustrated below:

4761 - 49 = 4712

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 4712. Below we list alternate solutions if available.

6561 - 1849 = 4712
349281 - 344569 = 4712

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