What 2 square numbers subtract to make 2849?

What two square numbers subtract to make 2849? In other words, when you subtract one square number from another square number, the answer is 2849. 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 = 2849

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

57² - 20² = 2849

57² is 3249 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 2849?" is 3249 and 400 as illustrated below:

3249 - 400 = 2849

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 2849. Below we list alternate solutions if available.

18225 - 15376 = 2849
42849 - 40000 = 2849

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