What 2 square numbers subtract to make 5120?

What two square numbers subtract to make 5120? In other words, when you subtract one square number from another square number, the answer is 5120. 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 = 5120

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

72² - 8² = 5120

72² is 5184 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 5120?" is 5184 and 64 as illustrated below:

5184 - 64 = 5120

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 5120. Below we list alternate solutions if available.

7056 - 1936 = 5120
9216 - 4096 = 5120
19044 - 13924 = 5120

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