What 2 square numbers subtract to make 2824?

What two square numbers subtract to make 2824? In other words, when you subtract one square number from another square number, the answer is 2824. 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 = 2824

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

355² - 351² = 2824

355² is 126025 and 351² is 123201, therefore the answer to the question "What 2 square numbers subtract to make 2824?" is 126025 and 123201 as illustrated below:

126025 - 123201 = 2824

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 2824. Below we list alternate solutions if available.

499849 - 497025 = 2824

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