What 2 square numbers subtract to make 1185?

What two square numbers subtract to make 1185? In other words, when you subtract one square number from another square number, the answer is 1185. 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 = 1185

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

47² - 32² = 1185

47² is 2209 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 1185?" is 2209 and 1024 as illustrated below:

2209 - 1024 = 1185

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 1185. Below we list alternate solutions if available.

14641 - 13456 = 1185
39601 - 38416 = 1185
351649 - 350464 = 1185

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