What 2 square numbers subtract to make 6296?

What two square numbers subtract to make 6296? In other words, when you subtract one square number from another square number, the answer is 6296. 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 = 6296

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

789² - 785² = 6296

789² is 622521 and 785² is 616225, therefore the answer to the question "What 2 square numbers subtract to make 6296?" is 622521 and 616225 as illustrated below:

622521 - 616225 = 6296

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 6296. Below we list alternate solutions if available.

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