What 2 square numbers subtract to make 5567?

What two square numbers subtract to make 5567? In other words, when you subtract one square number from another square number, the answer is 5567. 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 = 5567

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

156² - 137² = 5567

156² is 24336 and 137² is 18769, therefore the answer to the question "What 2 square numbers subtract to make 5567?" is 24336 and 18769 as illustrated below:

24336 - 18769 = 5567

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 5567. Below we list alternate solutions if available.

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