What 2 square numbers subtract to make 4131?

What two square numbers subtract to make 4131? In other words, when you subtract one square number from another square number, the answer is 4131. 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 = 4131

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

66² - 15² = 4131

66² is 4356 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 4131?" is 4356 and 225 as illustrated below:

4356 - 225 = 4131

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 4131. Below we list alternate solutions if available.

8100 - 3969 = 4131
16900 - 12769 = 4131
54756 - 50625 = 4131

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