What 2 square numbers subtract to make 2852?

What two square numbers subtract to make 2852? In other words, when you subtract one square number from another square number, the answer is 2852. 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 = 2852

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

54² - 8² = 2852

54² is 2916 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 2852?" is 2916 and 64 as illustrated below:

2916 - 64 = 2852

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 2852. Below we list alternate solutions if available.

509796 - 506944 = 2852

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