What 2 square numbers subtract to make 3144?

What two square numbers subtract to make 3144? In other words, when you subtract one square number from another square number, the answer is 3144. 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 = 3144

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

137² - 125² = 3144

137² is 18769 and 125² is 15625, therefore the answer to the question "What 2 square numbers subtract to make 3144?" is 18769 and 15625 as illustrated below:

18769 - 15625 = 3144

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 3144. Below we list alternate solutions if available.

70225 - 67081 = 3144
156025 - 152881 = 3144
619369 - 616225 = 3144

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