What 2 square numbers subtract to make 2271?

What two square numbers subtract to make 2271? In other words, when you subtract one square number from another square number, the answer is 2271. 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 = 2271

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

380² - 377² = 2271

380² is 144400 and 377² is 142129, therefore the answer to the question "What 2 square numbers subtract to make 2271?" is 144400 and 142129 as illustrated below:

144400 - 142129 = 2271

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 2271. Below we list alternate solutions if available.

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