What 2 square numbers subtract to make 5728?

What two square numbers subtract to make 5728? In other words, when you subtract one square number from another square number, the answer is 5728. 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 = 5728

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

187² - 171² = 5728

187² is 34969 and 171² is 29241, therefore the answer to the question "What 2 square numbers subtract to make 5728?" is 34969 and 29241 as illustrated below:

34969 - 29241 = 5728

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 5728. Below we list alternate solutions if available.

131044 - 125316 = 5728
515524 - 509796 = 5728

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