What 2 square numbers subtract to make 916?

What two square numbers subtract to make 916? In other words, when you subtract one square number from another square number, the answer is 916. 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 = 916

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

230² - 228² = 916

230² is 52900 and 228² is 51984, therefore the answer to the question "What 2 square numbers subtract to make 916?" is 52900 and 51984 as illustrated below:

52900 - 51984 = 916

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 916. Below we list alternate solutions if available.

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