What 2 square numbers subtract to make 3399?

What two square numbers subtract to make 3399? In other words, when you subtract one square number from another square number, the answer is 3399. 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 = 3399

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

68² - 35² = 3399

68² is 4624 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 3399?" is 4624 and 1225 as illustrated below:

4624 - 1225 = 3399

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 3399. Below we list alternate solutions if available.

25600 - 22201 = 3399
322624 - 319225 = 3399

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