What 2 square numbers subtract to make 2079?

What two square numbers subtract to make 2079? In other words, when you subtract one square number from another square number, the answer is 2079. 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 = 2079

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

48² - 15² = 2079

48² is 2304 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 2079?" is 2304 and 225 as illustrated below:

2304 - 225 = 2079

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 2079. Below we list alternate solutions if available.

2704 - 625 = 2079
3600 - 1521 = 2079
10000 - 7921 = 2079

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