What 2 square numbers subtract to make 516?

What two square numbers subtract to make 516? In other words, when you subtract one square number from another square number, the answer is 516. 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 = 516

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

46² - 40² = 516

46² is 2116 and 40² is 1600, therefore the answer to the question "What 2 square numbers subtract to make 516?" is 2116 and 1600 as illustrated below:

2116 - 1600 = 516

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 516. Below we list alternate solutions if available.

16900 - 16384 = 516

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