What 2 square numbers subtract to make 4560?

What two square numbers subtract to make 4560? In other words, when you subtract one square number from another square number, the answer is 4560. 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 = 4560

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

68² - 8² = 4560

68² is 4624 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 4560?" is 4624 and 64 as illustrated below:

4624 - 64 = 4560

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 4560. Below we list alternate solutions if available.

5929 - 1369 = 4560
6241 - 1681 = 4560
8281 - 3721 = 4560

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