What 2 square numbers subtract to make 3597?


What two square numbers subtract to make 3597? In other words, when you subtract one square number from another square number, the answer is 3597. 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 = 3597

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

712 - 382 = 3597

712 is 5041 and 382 is 1444, therefore the answer to the question "What 2 square numbers subtract to make 3597?" is 5041 and 1444 as illustrated below:

5041 - 1444 = 3597


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 3597. Below we list alternate solutions if available.

28561 - 24964 = 3597
361201 - 357604 = 3597

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