What 2 square numbers subtract to make 4179?

What two square numbers subtract to make 4179? In other words, when you subtract one square number from another square number, the answer is 4179. 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 = 4179

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

110² - 89² = 4179

110² is 12100 and 89² is 7921, therefore the answer to the question "What 2 square numbers subtract to make 4179?" is 12100 and 7921 as illustrated below:

12100 - 7921 = 4179

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 4179. Below we list alternate solutions if available.

91204 - 87025 = 4179
487204 - 483025 = 4179

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