What 2 square numbers subtract to make 5667?

What two square numbers subtract to make 5667? In other words, when you subtract one square number from another square number, the answer is 5667. 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 = 5667

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

946² - 943² = 5667

946² is 894916 and 943² is 889249, therefore the answer to the question "What 2 square numbers subtract to make 5667?" is 894916 and 889249 as illustrated below:

894916 - 889249 = 5667

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 5667. Below we list alternate solutions if available.

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