What 2 square numbers subtract to make 2823?

What two square numbers subtract to make 2823? In other words, when you subtract one square number from another square number, the answer is 2823. 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 = 2823

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

472² - 469² = 2823

472² is 222784 and 469² is 219961, therefore the answer to the question "What 2 square numbers subtract to make 2823?" is 222784 and 219961 as illustrated below:

222784 - 219961 = 2823

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 2823. Below we list alternate solutions if available.

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