What 2 square numbers subtract to make 2853?

What two square numbers subtract to make 2853? In other words, when you subtract one square number from another square number, the answer is 2853. 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 = 2853

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

163² - 154² = 2853

163² is 26569 and 154² is 23716, therefore the answer to the question "What 2 square numbers subtract to make 2853?" is 26569 and 23716 as illustrated below:

26569 - 23716 = 2853

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 2853. Below we list alternate solutions if available.

227529 - 224676 = 2853

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