What 2 square numbers subtract to make 1065?

What two square numbers subtract to make 1065? In other words, when you subtract one square number from another square number, the answer is 1065. 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 = 1065

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

43² - 28² = 1065

43² is 1849 and 28² is 784, therefore the answer to the question "What 2 square numbers subtract to make 1065?" is 1849 and 784 as illustrated below:

1849 - 784 = 1065

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 1065. Below we list alternate solutions if available.

11881 - 10816 = 1065
32041 - 30976 = 1065
284089 - 283024 = 1065

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