What 2 square numbers subtract to make 2107?

What two square numbers subtract to make 2107? In other words, when you subtract one square number from another square number, the answer is 2107. 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 = 2107

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

46² - 3² = 2107

46² is 2116 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 2107?" is 2116 and 9 as illustrated below:

2116 - 9 = 2107

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 2107. Below we list alternate solutions if available.

23716 - 21609 = 2107

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