What 2 square numbers subtract to make 1107?

What two square numbers subtract to make 1107? In other words, when you subtract one square number from another square number, the answer is 1107. 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 = 1107

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

34² - 7² = 1107

34² is 1156 and 7² is 49, therefore the answer to the question "What 2 square numbers subtract to make 1107?" is 1156 and 49 as illustrated below:

1156 - 49 = 1107

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 1107. Below we list alternate solutions if available.

4356 - 3249 = 1107
34596 - 33489 = 1107
306916 - 305809 = 1107

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