What 2 square numbers subtract to make 219?

What two square numbers subtract to make 219? In other words, when you subtract one square number from another square number, the answer is 219. 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 = 219

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

38² - 35² = 219

38² is 1444 and 35² is 1225, therefore the answer to the question "What 2 square numbers subtract to make 219?" is 1444 and 1225 as illustrated below:

1444 - 1225 = 219

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 219. Below we list alternate solutions if available.

12100 - 11881 = 219

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