What 2 square numbers subtract to make 3605?

What two square numbers subtract to make 3605? In other words, when you subtract one square number from another square number, the answer is 3605. 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 = 3605

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

69² - 34² = 3605

69² is 4761 and 34² is 1156, therefore the answer to the question "What 2 square numbers subtract to make 3605?" is 4761 and 1156 as illustrated below:

4761 - 1156 = 3605

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 3605. Below we list alternate solutions if available.

68121 - 64516 = 3605
131769 - 128164 = 3605

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