What 2 square numbers subtract to make 3005?

What two square numbers subtract to make 3005? In other words, when you subtract one square number from another square number, the answer is 3005. 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 = 3005

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

303² - 298² = 3005

303² is 91809 and 298² is 88804, therefore the answer to the question "What 2 square numbers subtract to make 3005?" is 91809 and 88804 as illustrated below:

91809 - 88804 = 3005

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 3005. Below we list alternate solutions if available.

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