What 2 square numbers subtract to make 385?

What two square numbers subtract to make 385? In other words, when you subtract one square number from another square number, the answer is 385. 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 = 385

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

23² - 12² = 385

23² is 529 and 12² is 144, therefore the answer to the question "What 2 square numbers subtract to make 385?" is 529 and 144 as illustrated below:

529 - 144 = 385

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 385. Below we list alternate solutions if available.

961 - 576 = 385
1681 - 1296 = 385
37249 - 36864 = 385

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