What 2 square numbers subtract to make 3357?

What two square numbers subtract to make 3357? In other words, when you subtract one square number from another square number, the answer is 3357. 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 = 3357

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

191² - 182² = 3357

191² is 36481 and 182² is 33124, therefore the answer to the question "What 2 square numbers subtract to make 3357?" is 36481 and 33124 as illustrated below:

36481 - 33124 = 3357

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 3357. Below we list alternate solutions if available.

314721 - 311364 = 3357

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