What 2 square numbers subtract to make 1880?

What two square numbers subtract to make 1880? In other words, when you subtract one square number from another square number, the answer is 1880. 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 = 1880

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

57² - 37² = 1880

57² is 3249 and 37² is 1369, therefore the answer to the question "What 2 square numbers subtract to make 1880?" is 3249 and 1369 as illustrated below:

3249 - 1369 = 1880

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 1880. Below we list alternate solutions if available.

9801 - 7921 = 1880
56169 - 54289 = 1880
221841 - 219961 = 1880

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