What 2 square numbers subtract to make 3424?

What two square numbers subtract to make 3424? In other words, when you subtract one square number from another square number, the answer is 3424. 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 = 3424

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

115² - 99² = 3424

115² is 13225 and 99² is 9801, therefore the answer to the question "What 2 square numbers subtract to make 3424?" is 13225 and 9801 as illustrated below:

13225 - 9801 = 3424

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 3424. Below we list alternate solutions if available.

47524 - 44100 = 3424
184900 - 181476 = 3424
734449 - 731025 = 3424

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