What 2 square numbers subtract to make 5111?

What two square numbers subtract to make 5111? In other words, when you subtract one square number from another square number, the answer is 5111. 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 = 5111

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

144² - 125² = 5111

144² is 20736 and 125² is 15625, therefore the answer to the question "What 2 square numbers subtract to make 5111?" is 20736 and 15625 as illustrated below:

20736 - 15625 = 5111

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 5111. Below we list alternate solutions if available.

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