What 2 square numbers subtract to make 1036?

What two square numbers subtract to make 1036? In other words, when you subtract one square number from another square number, the answer is 1036. 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 = 1036

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

44² - 30² = 1036

44² is 1936 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 1036?" is 1936 and 900 as illustrated below:

1936 - 900 = 1036

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 1036. Below we list alternate solutions if available.

67600 - 66564 = 1036

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