What 2 square numbers subtract to make 873?

What two square numbers subtract to make 873? In other words, when you subtract one square number from another square number, the answer is 873. 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 = 873

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

53² - 44² = 873

53² is 2809 and 44² is 1936, therefore the answer to the question "What 2 square numbers subtract to make 873?" is 2809 and 1936 as illustrated below:

2809 - 1936 = 873

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 873. Below we list alternate solutions if available.

21609 - 20736 = 873
190969 - 190096 = 873

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