What 2 square numbers subtract to make 2587?

What two square numbers subtract to make 2587? In other words, when you subtract one square number from another square number, the answer is 2587. 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 = 2587

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

106² - 93² = 2587

106² is 11236 and 93² is 8649, therefore the answer to the question "What 2 square numbers subtract to make 2587?" is 11236 and 8649 as illustrated below:

11236 - 8649 = 2587

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 2587. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 2588?
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