What 2 square numbers subtract to make 4113?

What two square numbers subtract to make 4113? In other words, when you subtract one square number from another square number, the answer is 4113. 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 = 4113

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

233² - 224² = 4113

233² is 54289 and 224² is 50176, therefore the answer to the question "What 2 square numbers subtract to make 4113?" is 54289 and 50176 as illustrated below:

54289 - 50176 = 4113

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 4113. Below we list alternate solutions if available.

471969 - 467856 = 4113

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