What 2 square numbers subtract to make 1324?

What two square numbers subtract to make 1324? In other words, when you subtract one square number from another square number, the answer is 1324. 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 = 1324

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

332² - 330² = 1324

332² is 110224 and 330² is 108900, therefore the answer to the question "What 2 square numbers subtract to make 1324?" is 110224 and 108900 as illustrated below:

110224 - 108900 = 1324

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 1324. Below we list alternate solutions if available.

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