What 2 square numbers subtract to make 4849?

What two square numbers subtract to make 4849? In other words, when you subtract one square number from another square number, the answer is 4849. 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 = 4849

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

193² - 180² = 4849

193² is 37249 and 180² is 32400, therefore the answer to the question "What 2 square numbers subtract to make 4849?" is 37249 and 32400 as illustrated below:

37249 - 32400 = 4849

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 4849. Below we list alternate solutions if available.

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