What 2 square numbers subtract to make 3717?

What two square numbers subtract to make 3717? In other words, when you subtract one square number from another square number, the answer is 3717. 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 = 3717

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

61² - 2² = 3717

61² is 3721 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 3717?" is 3721 and 4 as illustrated below:

3721 - 4 = 3717

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 3717. Below we list alternate solutions if available.

9801 - 6084 = 3717
44521 - 40804 = 3717
72361 - 68644 = 3717

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