What 2 square numbers subtract to make 3689?

What two square numbers subtract to make 3689? In other words, when you subtract one square number from another square number, the answer is 3689. 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 = 3689

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

75² - 44² = 3689

75² is 5625 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 3689?" is 5625 and 1936 as illustrated below:

5625 - 1936 = 3689

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 3689. Below we list alternate solutions if available.

13689 - 10000 = 3689
71289 - 67600 = 3689

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