What 2 square numbers subtract to make 5256?

What two square numbers subtract to make 5256? In other words, when you subtract one square number from another square number, the answer is 5256. 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 = 5256

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

91² - 55² = 5256

91² is 8281 and 55² is 3025, therefore the answer to the question "What 2 square numbers subtract to make 5256?" is 8281 and 3025 as illustrated below:

8281 - 3025 = 5256

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 5256. Below we list alternate solutions if available.

24025 - 18769 = 5256
50625 - 45369 = 5256
194481 - 189225 = 5256

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