What 2 square numbers subtract to make 2324?

What two square numbers subtract to make 2324? In other words, when you subtract one square number from another square number, the answer is 2324. 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 = 2324

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

90² - 76² = 2324

90² is 8100 and 76² is 5776, therefore the answer to the question "What 2 square numbers subtract to make 2324?" is 8100 and 5776 as illustrated below:

8100 - 5776 = 2324

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 2324. Below we list alternate solutions if available.

338724 - 336400 = 2324

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