What 2 square numbers subtract to make 3505?

What two square numbers subtract to make 3505? In other words, when you subtract one square number from another square number, the answer is 3505. 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 = 3505

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

353² - 348² = 3505

353² is 124609 and 348² is 121104, therefore the answer to the question "What 2 square numbers subtract to make 3505?" is 124609 and 121104 as illustrated below:

124609 - 121104 = 3505

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 3505. Below we list alternate solutions if available.

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