What 2 square numbers subtract to make 3672?

What two square numbers subtract to make 3672? In other words, when you subtract one square number from another square number, the answer is 3672. 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 = 3672

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

61² - 7² = 3672

61² is 3721 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 3672?" is 3721 and 49 as illustrated below:

3721 - 49 = 3672

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 3672. Below we list alternate solutions if available.

4761 - 1089 = 3672
5041 - 1369 = 3672
12321 - 8649 = 3672

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