What 2 square numbers subtract to make 185?

What two square numbers subtract to make 185? In other words, when you subtract one square number from another square number, the answer is 185. 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 = 185

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

21² - 16² = 185

21² is 441 and 16² is 256, therefore the answer to the question "What 2 square numbers subtract to make 185?" is 441 and 256 as illustrated below:

441 - 256 = 185

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 185. Below we list alternate solutions if available.

8649 - 8464 = 185

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