What 2 square numbers subtract to make 252?

What two square numbers subtract to make 252? In other words, when you subtract one square number from another square number, the answer is 252. 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 = 252

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

16² - 2² = 252

16² is 256 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 252?" is 256 and 4 as illustrated below:

256 - 4 = 252

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 252. Below we list alternate solutions if available.

576 - 324 = 252
4096 - 3844 = 252

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