What 2 square numbers subtract to make 8333?

What two square numbers subtract to make 8333? In other words, when you subtract one square number from another square number, the answer is 8333. 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 = 8333

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

327² - 314² = 8333

327² is 106929 and 314² is 98596, therefore the answer to the question "What 2 square numbers subtract to make 8333?" is 106929 and 98596 as illustrated below:

106929 - 98596 = 8333

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 8333. Below we list alternate solutions if available.

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