What 2 square numbers subtract to make 6245?

What two square numbers subtract to make 6245? In other words, when you subtract one square number from another square number, the answer is 6245. 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 = 6245

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

627² - 622² = 6245

627² is 393129 and 622² is 386884, therefore the answer to the question "What 2 square numbers subtract to make 6245?" is 393129 and 386884 as illustrated below:

393129 - 386884 = 6245

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 6245. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 6246?
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