What 2 square numbers subtract to make 5696?

What two square numbers subtract to make 5696? In other words, when you subtract one square number from another square number, the answer is 5696. 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 = 5696

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

105² - 73² = 5696

105² is 11025 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 5696?" is 11025 and 5329 as illustrated below:

11025 - 5329 = 5696

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 5696. Below we list alternate solutions if available.

34596 - 28900 = 5696
129600 - 123904 = 5696
509796 - 504100 = 5696

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