What 2 square numbers subtract to make 8325?

What two square numbers subtract to make 8325? In other words, when you subtract one square number from another square number, the answer is 8325. 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 = 8325

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

93² - 18² = 8325

93² is 8649 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 8325?" is 8649 and 324 as illustrated below:

8649 - 324 = 8325

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 8325. Below we list alternate solutions if available.

13225 - 4900 = 8325
17161 - 8836 = 8325
32041 - 23716 = 8325

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