What 2 square numbers subtract to make 9889?

What two square numbers subtract to make 9889? In other words, when you subtract one square number from another square number, the answer is 9889. 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 = 9889

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

175² - 144² = 9889

175² is 30625 and 144² is 20736, therefore the answer to the question "What 2 square numbers subtract to make 9889?" is 30625 and 20736 as illustrated below:

30625 - 20736 = 9889

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 9889. Below we list alternate solutions if available.

34225 - 24336 = 9889
207025 - 197136 = 9889

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