What 2 square numbers subtract to make 1899?

What two square numbers subtract to make 1899? In other words, when you subtract one square number from another square number, the answer is 1899. 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 = 1899

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

110² - 101² = 1899

110² is 12100 and 101² is 10201, therefore the answer to the question "What 2 square numbers subtract to make 1899?" is 12100 and 10201 as illustrated below:

12100 - 10201 = 1899

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 1899. Below we list alternate solutions if available.

101124 - 99225 = 1899
902500 - 900601 = 1899

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