What 2 square numbers subtract to make 8424?

What two square numbers subtract to make 8424? In other words, when you subtract one square number from another square number, the answer is 8424. 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 = 8424

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

93² - 15² = 8424

93² is 8649 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 8424?" is 8649 and 225 as illustrated below:

8649 - 225 = 8424

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 8424. Below we list alternate solutions if available.

11025 - 2601 = 8424
11449 - 3025 = 8424
18225 - 9801 = 8424

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