What 2 square numbers subtract to make 224?

What two square numbers subtract to make 224? In other words, when you subtract one square number from another square number, the answer is 224. 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 = 224

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

15² - 1² = 224

15² is 225 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 224?" is 225 and 1 as illustrated below:

225 - 1 = 224

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 224. Below we list alternate solutions if available.

324 - 100 = 224
900 - 676 = 224
3249 - 3025 = 224

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What 2 square numbers subtract to make 225?
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