What 2 square numbers subtract to make 6001?

What two square numbers subtract to make 6001? In other words, when you subtract one square number from another square number, the answer is 6001. 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 = 6001

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

185² - 168² = 6001

185² is 34225 and 168² is 28224, therefore the answer to the question "What 2 square numbers subtract to make 6001?" is 34225 and 28224 as illustrated below:

34225 - 28224 = 6001

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 6001. Below we list alternate solutions if available.

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