What 2 square numbers subtract to make 4845?

What two square numbers subtract to make 4845? In other words, when you subtract one square number from another square number, the answer is 4845. 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 = 4845

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

71² - 14² = 4845

71² is 5041 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 4845?" is 5041 and 196 as illustrated below:

5041 - 196 = 4845

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 4845. Below we list alternate solutions if available.

5329 - 484 = 4845
18769 - 13924 = 4845
22801 - 17956 = 4845

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