What 2 square numbers subtract to make 4167?

What two square numbers subtract to make 4167? In other words, when you subtract one square number from another square number, the answer is 4167. 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 = 4167

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

236² - 227² = 4167

236² is 55696 and 227² is 51529, therefore the answer to the question "What 2 square numbers subtract to make 4167?" is 55696 and 51529 as illustrated below:

55696 - 51529 = 4167

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 4167. Below we list alternate solutions if available.

484416 - 480249 = 4167

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