What 2 square numbers subtract to make 853?

What two square numbers subtract to make 853? In other words, when you subtract one square number from another square number, the answer is 853. 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 = 853

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

427² - 426² = 853

427² is 182329 and 426² is 181476, therefore the answer to the question "What 2 square numbers subtract to make 853?" is 182329 and 181476 as illustrated below:

182329 - 181476 = 853

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 853. Below we list alternate solutions if available.

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