What 2 square numbers subtract to make 2224?

What two square numbers subtract to make 2224? In other words, when you subtract one square number from another square number, the answer is 2224. 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 = 2224

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

143² - 135² = 2224

143² is 20449 and 135² is 18225, therefore the answer to the question "What 2 square numbers subtract to make 2224?" is 20449 and 18225 as illustrated below:

20449 - 18225 = 2224

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 2224. Below we list alternate solutions if available.

78400 - 76176 = 2224
310249 - 308025 = 2224

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