What 2 square numbers subtract to make 6399?

What two square numbers subtract to make 6399? In other words, when you subtract one square number from another square number, the answer is 6399. 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 = 6399

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

80² - 1² = 6399

80² is 6400 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 6399?" is 6400 and 1 as illustrated below:

6400 - 1 = 6399

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 6399. Below we list alternate solutions if available.

17424 - 11025 = 6399
129600 - 123201 = 6399

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What 2 square numbers subtract to make 6400?
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