What 2 square numbers subtract to make 756?

What two square numbers subtract to make 756? In other words, when you subtract one square number from another square number, the answer is 756. 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 = 756

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

30² - 12² = 756

30² is 900 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 756?" is 900 and 144 as illustrated below:

900 - 144 = 756

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 756. Below we list alternate solutions if available.

1156 - 400 = 756
4356 - 3600 = 756
36100 - 35344 = 756

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