What 2 square numbers subtract to make 3003?

What two square numbers subtract to make 3003? In other words, when you subtract one square number from another square number, the answer is 3003. 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 = 3003

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

58² - 19² = 3003

58² is 3364 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 3003?" is 3364 and 361 as illustrated below:

3364 - 361 = 3003

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 3003. Below we list alternate solutions if available.

3844 - 841 = 3003
6724 - 3721 = 3003
14884 - 11881 = 3003

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