What 2 square numbers subtract to make 2784?

What two square numbers subtract to make 2784? In other words, when you subtract one square number from another square number, the answer is 2784. 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 = 2784

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

53² - 5² = 2784

53² is 2809 and 5² is 25, therefore the answer to the question "What 2 square numbers subtract to make 2784?" is 2809 and 25 as illustrated below:

2809 - 25 = 2784

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 2784. Below we list alternate solutions if available.

4900 - 2116 = 2784
9025 - 6241 = 2784
14884 - 12100 = 2784

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