What 2 square numbers subtract to make 5824?

What two square numbers subtract to make 5824? In other words, when you subtract one square number from another square number, the answer is 5824. 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 = 5824

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

80² - 24² = 5824

80² is 6400 and 24² is 576, therefore the answer to the question "What 2 square numbers subtract to make 5824?" is 6400 and 576 as illustrated below:

6400 - 576 = 5824

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 5824. Below we list alternate solutions if available.

6724 - 900 = 5824
11449 - 5625 = 5824
13924 - 8100 = 5824

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