What 2 square numbers subtract to make 9872?

What two square numbers subtract to make 9872? In other words, when you subtract one square number from another square number, the answer is 9872. 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 = 9872

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

621² - 613² = 9872

621² is 385641 and 613² is 375769, therefore the answer to the question "What 2 square numbers subtract to make 9872?" is 385641 and 375769 as illustrated below:

385641 - 375769 = 9872

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 9872. Below we list alternate solutions if available.

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