What 2 square numbers subtract to make 1224?

What two square numbers subtract to make 1224? In other words, when you subtract one square number from another square number, the answer is 1224. 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 = 1224

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

35² - 1² = 1224

35² is 1225 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 1224?" is 1225 and 1 as illustrated below:

1225 - 1 = 1224

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 1224. Below we list alternate solutions if available.

1849 - 625 = 1224
3249 - 2025 = 1224
11025 - 9801 = 1224

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What 2 square numbers subtract to make 1225?
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