What 2 square numbers subtract to make 5991?

What two square numbers subtract to make 5991? In other words, when you subtract one square number from another square number, the answer is 5991. 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 = 5991

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

1000² - 997² = 5991

1000² is 1000000 and 997² is 994009, therefore the answer to the question "What 2 square numbers subtract to make 5991?" is 1000000 and 994009 as illustrated below:

1000000 - 994009 = 5991

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 5991. Below we list alternate solutions if available.

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