What 2 square numbers subtract to make 9744?

What two square numbers subtract to make 9744? In other words, when you subtract one square number from another square number, the answer is 9744. 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 = 9744

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

100² - 16² = 9744

100² is 10000 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 9744?" is 10000 and 256 as illustrated below:

10000 - 256 = 9744

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 9744. Below we list alternate solutions if available.

12769 - 3025 = 9744
13225 - 3481 = 9744
18769 - 9025 = 9744

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