What 2 square numbers subtract to make 3699?

What two square numbers subtract to make 3699? In other words, when you subtract one square number from another square number, the answer is 3699. 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 = 3699

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

82² - 55² = 3699

82² is 6724 and 55² is 3025, therefore the answer to the question "What 2 square numbers subtract to make 3699?" is 6724 and 3025 as illustrated below:

6724 - 3025 = 3699

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 3699. Below we list alternate solutions if available.

44100 - 40401 = 3699
381924 - 378225 = 3699

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