What 2 square numbers subtract to make 8843?

What two square numbers subtract to make 8843? In other words, when you subtract one square number from another square number, the answer is 8843. 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 = 8843

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

138² - 101² = 8843

138² is 19044 and 101² is 10201, therefore the answer to the question "What 2 square numbers subtract to make 8843?" is 19044 and 10201 as illustrated below:

19044 - 10201 = 8843

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 8843. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8844?
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