What 2 square numbers subtract to make 3789?

What two square numbers subtract to make 3789? In other words, when you subtract one square number from another square number, the answer is 3789. 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 = 3789

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

215² - 206² = 3789

215² is 46225 and 206² is 42436, therefore the answer to the question "What 2 square numbers subtract to make 3789?" is 46225 and 42436 as illustrated below:

46225 - 42436 = 3789

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 3789. Below we list alternate solutions if available.

400689 - 396900 = 3789

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