What 2 square numbers subtract to make 2724?

What two square numbers subtract to make 2724? In other words, when you subtract one square number from another square number, the answer is 2724. 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 = 2724

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

230² - 224² = 2724

230² is 52900 and 224² is 50176, therefore the answer to the question "What 2 square numbers subtract to make 2724?" is 52900 and 50176 as illustrated below:

52900 - 50176 = 2724

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 2724. Below we list alternate solutions if available.

465124 - 462400 = 2724

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