What 2 square numbers subtract to make 7560?

What two square numbers subtract to make 7560? In other words, when you subtract one square number from another square number, the answer is 7560. 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 = 7560

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

87² - 3² = 7560

87² is 7569 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 7560?" is 7569 and 9 as illustrated below:

7569 - 9 = 7560

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 7560. Below we list alternate solutions if available.

7921 - 361 = 7560
8649 - 1089 = 7560
9409 - 1849 = 7560

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