What 2 square numbers subtract to make 8005?

What two square numbers subtract to make 8005? In other words, when you subtract one square number from another square number, the answer is 8005. 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 = 8005

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

803² - 798² = 8005

803² is 644809 and 798² is 636804, therefore the answer to the question "What 2 square numbers subtract to make 8005?" is 644809 and 636804 as illustrated below:

644809 - 636804 = 8005

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 8005. Below we list alternate solutions if available.

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