What 2 square numbers subtract to make 2144?

What two square numbers subtract to make 2144? In other words, when you subtract one square number from another square number, the answer is 2144. 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 = 2144

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

75² - 59² = 2144

75² is 5625 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 2144?" is 5625 and 3481 as illustrated below:

5625 - 3481 = 2144

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 2144. Below we list alternate solutions if available.

19044 - 16900 = 2144
72900 - 70756 = 2144
288369 - 286225 = 2144

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