What 2 square numbers subtract to make 1389?

What two square numbers subtract to make 1389? In other words, when you subtract one square number from another square number, the answer is 1389. 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 = 1389

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

233² - 230² = 1389

233² is 54289 and 230² is 52900, therefore the answer to the question "What 2 square numbers subtract to make 1389?" is 54289 and 52900 as illustrated below:

54289 - 52900 = 1389

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 1389. Below we list alternate solutions if available.

483025 - 481636 = 1389

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