What 2 square numbers subtract to make 4824?

What two square numbers subtract to make 4824? In other words, when you subtract one square number from another square number, the answer is 4824. 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 = 4824

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

85² - 49² = 4824

85² is 7225 and 49² is 2401, therefore the answer to the question "What 2 square numbers subtract to make 4824?" is 7225 and 2401 as illustrated below:

7225 - 2401 = 4824

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 4824. Below we list alternate solutions if available.

20449 - 15625 = 4824
42849 - 38025 = 4824
164025 - 159201 = 4824

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What 2 square numbers subtract to make 4825?
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