What 2 square numbers subtract to make 8520?

What two square numbers subtract to make 8520? In other words, when you subtract one square number from another square number, the answer is 8520. 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 = 8520

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

101² - 41² = 8520

101² is 10201 and 41² is 1681, therefore the answer to the question "What 2 square numbers subtract to make 8520?" is 10201 and 1681 as illustrated below:

10201 - 1681 = 8520

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 8520. Below we list alternate solutions if available.

24649 - 16129 = 8520
49729 - 41209 = 8520
130321 - 121801 = 8520

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