What 2 square numbers subtract to make 2728?

What two square numbers subtract to make 2728? In other words, when you subtract one square number from another square number, the answer is 2728. 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 = 2728

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

53² - 9² = 2728

53² is 2809 and 9² is 81, therefore the answer to the question "What 2 square numbers subtract to make 2728?" is 2809 and 81 as illustrated below:

2809 - 81 = 2728

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 2728. Below we list alternate solutions if available.

5329 - 2601 = 2728
117649 - 114921 = 2728
466489 - 463761 = 2728

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