What 2 square numbers subtract to make 5584?

What two square numbers subtract to make 5584? In other words, when you subtract one square number from another square number, the answer is 5584. 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 = 5584

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

353² - 345² = 5584

353² is 124609 and 345² is 119025, therefore the answer to the question "What 2 square numbers subtract to make 5584?" is 124609 and 119025 as illustrated below:

124609 - 119025 = 5584

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 5584. Below we list alternate solutions if available.

490000 - 484416 = 5584

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