What 2 square numbers subtract to make 5616?

What two square numbers subtract to make 5616? In other words, when you subtract one square number from another square number, the answer is 5616. 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 = 5616

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

75² - 3² = 5616

75² is 5625 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 5616?" is 5625 and 9 as illustrated below:

5625 - 9 = 5616

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 5616. Below we list alternate solutions if available.

6241 - 625 = 5616
6400 - 784 = 5616
9216 - 3600 = 5616

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