What 2 square numbers subtract to make 3027?

What two square numbers subtract to make 3027? In other words, when you subtract one square number from another square number, the answer is 3027. 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 = 3027

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

506² - 503² = 3027

506² is 256036 and 503² is 253009, therefore the answer to the question "What 2 square numbers subtract to make 3027?" is 256036 and 253009 as illustrated below:

256036 - 253009 = 3027

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 3027. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3028?
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