What 2 square numbers subtract to make 2229?

What two square numbers subtract to make 2229? In other words, when you subtract one square number from another square number, the answer is 2229. 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 = 2229

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

373² - 370² = 2229

373² is 139129 and 370² is 136900, therefore the answer to the question "What 2 square numbers subtract to make 2229?" is 139129 and 136900 as illustrated below:

139129 - 136900 = 2229

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 2229. Below we list alternate solutions if available.

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