What 2 square numbers subtract to make 4385?

What two square numbers subtract to make 4385? In other words, when you subtract one square number from another square number, the answer is 4385. 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 = 4385

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

441² - 436² = 4385

441² is 194481 and 436² is 190096, therefore the answer to the question "What 2 square numbers subtract to make 4385?" is 194481 and 190096 as illustrated below:

194481 - 190096 = 4385

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 4385. Below we list alternate solutions if available.

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