What 2 square numbers subtract to make 5656?

What two square numbers subtract to make 5656? In other words, when you subtract one square number from another square number, the answer is 5656. 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 = 5656

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

115² - 87² = 5656

115² is 13225 and 87² is 7569, therefore the answer to the question "What 2 square numbers subtract to make 5656?" is 13225 and 7569 as illustrated below:

13225 - 7569 = 5656

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 5656. Below we list alternate solutions if available.

43681 - 38025 = 5656
502681 - 497025 = 5656

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