What 2 square numbers subtract to make 9636?

What two square numbers subtract to make 9636? In other words, when you subtract one square number from another square number, the answer is 9636. 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 = 9636

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

106² - 40² = 9636

106² is 11236 and 40² is 1600, therefore the answer to the question "What 2 square numbers subtract to make 9636?" is 11236 and 1600 as illustrated below:

11236 - 1600 = 9636

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 9636. Below we list alternate solutions if available.

52900 - 43264 = 9636
649636 - 640000 = 9636

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What 2 square numbers subtract to make 9637?
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