What 2 square numbers subtract to make 1140?

What two square numbers subtract to make 1140? In other words, when you subtract one square number from another square number, the answer is 1140. 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 = 1140

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

34² - 4² = 1140

34² is 1156 and 4² is 16, therefore the answer to the question "What 2 square numbers subtract to make 1140?" is 1156 and 16 as illustrated below:

1156 - 16 = 1140

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 1140. Below we list alternate solutions if available.

3844 - 2704 = 1140
9604 - 8464 = 1140
81796 - 80656 = 1140

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