What 2 square numbers subtract to make 2799?

What two square numbers subtract to make 2799? In other words, when you subtract one square number from another square number, the answer is 2799. 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 = 2799

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

160² - 151² = 2799

160² is 25600 and 151² is 22801, therefore the answer to the question "What 2 square numbers subtract to make 2799?" is 25600 and 22801 as illustrated below:

25600 - 22801 = 2799

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 2799. Below we list alternate solutions if available.

219024 - 216225 = 2799

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