What 2 square numbers subtract to make 5585?

What two square numbers subtract to make 5585? In other words, when you subtract one square number from another square number, the answer is 5585. 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 = 5585

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

561² - 556² = 5585

561² is 314721 and 556² is 309136, therefore the answer to the question "What 2 square numbers subtract to make 5585?" is 314721 and 309136 as illustrated below:

314721 - 309136 = 5585

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 5585. Below we list alternate solutions if available.

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