What 2 square numbers subtract to make 849?

What two square numbers subtract to make 849? In other words, when you subtract one square number from another square number, the answer is 849. 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 = 849

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

143² - 140² = 849

143² is 20449 and 140² is 19600, therefore the answer to the question "What 2 square numbers subtract to make 849?" is 20449 and 19600 as illustrated below:

20449 - 19600 = 849

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 849. Below we list alternate solutions if available.

180625 - 179776 = 849

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