What 2 square numbers subtract to make 5536?

What two square numbers subtract to make 5536? In other words, when you subtract one square number from another square number, the answer is 5536. 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 = 5536

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

181² - 165² = 5536

181² is 32761 and 165² is 27225, therefore the answer to the question "What 2 square numbers subtract to make 5536?" is 32761 and 27225 as illustrated below:

32761 - 27225 = 5536

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 5536. Below we list alternate solutions if available.

122500 - 116964 = 5536
481636 - 476100 = 5536

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