What 2 square numbers subtract to make 6280?

What two square numbers subtract to make 6280? In other words, when you subtract one square number from another square number, the answer is 6280. 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 = 6280

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

167² - 147² = 6280

167² is 27889 and 147² is 21609, therefore the answer to the question "What 2 square numbers subtract to make 6280?" is 27889 and 21609 as illustrated below:

27889 - 21609 = 6280

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 6280. Below we list alternate solutions if available.

101761 - 95481 = 6280
619369 - 613089 = 6280

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