What 2 square numbers subtract to make 4444?

What two square numbers subtract to make 4444? In other words, when you subtract one square number from another square number, the answer is 4444. 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 = 4444

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

112² - 90² = 4444

112² is 12544 and 90² is 8100, therefore the answer to the question "What 2 square numbers subtract to make 4444?" is 12544 and 8100 as illustrated below:

12544 - 8100 = 4444

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 4444. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4445?
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