What 2 square numbers subtract to make 8415?

What two square numbers subtract to make 8415? In other words, when you subtract one square number from another square number, the answer is 8415. 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 = 8415

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

92² - 7² = 8415

92² is 8464 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 8415?" is 8464 and 49 as illustrated below:

8464 - 49 = 8415

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 8415. Below we list alternate solutions if available.

10816 - 2401 = 8415
11664 - 3249 = 8415
13456 - 5041 = 8415

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