What 2 square numbers subtract to make 3731?

What two square numbers subtract to make 3731? In other words, when you subtract one square number from another square number, the answer is 3731. 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 = 3731

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

66² - 25² = 3731

66² is 4356 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 3731?" is 4356 and 625 as illustrated below:

4356 - 625 = 3731

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 3731. Below we list alternate solutions if available.

22500 - 18769 = 3731
72900 - 69169 = 3731

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