What 2 square numbers subtract to make 9552?

What two square numbers subtract to make 9552? In other words, when you subtract one square number from another square number, the answer is 9552. 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 = 9552

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

211² - 187² = 9552

211² is 44521 and 187² is 34969, therefore the answer to the question "What 2 square numbers subtract to make 9552?" is 44521 and 34969 as illustrated below:

44521 - 34969 = 9552

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 9552. Below we list alternate solutions if available.

163216 - 153664 = 9552
361201 - 351649 = 9552
638401 - 628849 = 9552

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What 2 square numbers subtract to make 9553?
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