What 2 square numbers subtract to make 5672?

What two square numbers subtract to make 5672? In other words, when you subtract one square number from another square number, the answer is 5672. 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 = 5672

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

711² - 707² = 5672

711² is 505521 and 707² is 499849, therefore the answer to the question "What 2 square numbers subtract to make 5672?" is 505521 and 499849 as illustrated below:

505521 - 499849 = 5672

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 5672. Below we list alternate solutions if available.

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