What 2 square numbers subtract to make 9384?

What two square numbers subtract to make 9384? In other words, when you subtract one square number from another square number, the answer is 9384. 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 = 9384

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

97² - 5² = 9384

97² is 9409 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 9384?" is 9409 and 25 as illustrated below:

9409 - 25 = 9384

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 9384. Below we list alternate solutions if available.

10609 - 1225 = 9384
15625 - 6241 = 9384
24025 - 14641 = 9384

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