What 2 square numbers subtract to make 6005?

What two square numbers subtract to make 6005? In other words, when you subtract one square number from another square number, the answer is 6005. 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 = 6005

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

603² - 598² = 6005

603² is 363609 and 598² is 357604, therefore the answer to the question "What 2 square numbers subtract to make 6005?" is 363609 and 357604 as illustrated below:

363609 - 357604 = 6005

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 6005. Below we list alternate solutions if available.

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