What 2 square numbers subtract to make 7572?

What two square numbers subtract to make 7572? In other words, when you subtract one square number from another square number, the answer is 7572. 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 = 7572

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

634² - 628² = 7572

634² is 401956 and 628² is 394384, therefore the answer to the question "What 2 square numbers subtract to make 7572?" is 401956 and 394384 as illustrated below:

401956 - 394384 = 7572

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 7572. Below we list alternate solutions if available.

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