What 2 square numbers subtract to make 1160?

What two square numbers subtract to make 1160? In other words, when you subtract one square number from another square number, the answer is 1160. 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 = 1160

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

39² - 19² = 1160

39² is 1521 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 1160?" is 1521 and 361 as illustrated below:

1521 - 361 = 1160

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 1160. Below we list alternate solutions if available.

3969 - 2809 = 1160
21609 - 20449 = 1160
84681 - 83521 = 1160

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