What 2 square numbers subtract to make 6276?

What two square numbers subtract to make 6276? In other words, when you subtract one square number from another square number, the answer is 6276. 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 = 6276

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

526² - 520² = 6276

526² is 276676 and 520² is 270400, therefore the answer to the question "What 2 square numbers subtract to make 6276?" is 276676 and 270400 as illustrated below:

276676 - 270400 = 6276

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 6276. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6277?
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