What 2 square numbers subtract to make 3652?


What two square numbers subtract to make 3652? In other words, when you subtract one square number from another square number, the answer is 3652. 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 = 3652

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

942 - 722 = 3652

942 is 8836 and 722 is 5184, therefore the answer to the question "What 2 square numbers subtract to make 3652?" is 8836 and 5184 as illustrated below:

8836 - 5184 = 3652


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 3652. Below we list alternate solutions if available.

835396 - 831744 = 3652

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