What 2 square numbers subtract to make 1117?

What two square numbers subtract to make 1117? In other words, when you subtract one square number from another square number, the answer is 1117. 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 = 1117

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

559² - 558² = 1117

559² is 312481 and 558² is 311364, therefore the answer to the question "What 2 square numbers subtract to make 1117?" is 312481 and 311364 as illustrated below:

312481 - 311364 = 1117

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 1117. Below we list alternate solutions if available.

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