What 2 square numbers subtract to make 4224?

What two square numbers subtract to make 4224? In other words, when you subtract one square number from another square number, the answer is 4224. 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 = 4224

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

65² - 1² = 4224

65² is 4225 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 4224?" is 4225 and 1 as illustrated below:

4225 - 1 = 4224

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 4224. Below we list alternate solutions if available.

4624 - 400 = 4224
4900 - 676 = 4224
6724 - 2500 = 4224

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What 2 square numbers subtract to make 4225?
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