What 2 square numbers subtract to make 8635?

What two square numbers subtract to make 8635? In other words, when you subtract one square number from another square number, the answer is 8635. 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 = 8635

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

106² - 51² = 8635

106² is 11236 and 51² is 2601, therefore the answer to the question "What 2 square numbers subtract to make 8635?" is 11236 and 2601 as illustrated below:

11236 - 2601 = 8635

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 8635. Below we list alternate solutions if available.

158404 - 149769 = 8635
749956 - 741321 = 8635

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