What 2 square numbers subtract to make 816?

What two square numbers subtract to make 816? In other words, when you subtract one square number from another square number, the answer is 816. 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 = 816

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

29² - 5² = 816

29² is 841 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 816?" is 841 and 25 as illustrated below:

841 - 25 = 816

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 816. Below we list alternate solutions if available.

1600 - 784 = 816
3025 - 2209 = 816
5041 - 4225 = 816

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