What 2 square numbers subtract to make 9604?

What two square numbers subtract to make 9604? In other words, when you subtract one square number from another square number, the answer is 9604. 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 = 9604

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

350² - 336² = 9604

350² is 122500 and 336² is 112896, therefore the answer to the question "What 2 square numbers subtract to make 9604?" is 122500 and 112896 as illustrated below:

122500 - 112896 = 9604

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 9604. Below we list alternate solutions if available.

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