What 2 square numbers subtract to make 4897?

What two square numbers subtract to make 4897? In other words, when you subtract one square number from another square number, the answer is 4897. 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 = 4897

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

71² - 12² = 4897

71² is 5041 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 4897?" is 5041 and 144 as illustrated below:

5041 - 144 = 4897

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 4897. Below we list alternate solutions if available.

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