What 2 square numbers subtract to make 357?

What two square numbers subtract to make 357? In other words, when you subtract one square number from another square number, the answer is 357. 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 = 357

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

19² - 2² = 357

19² is 361 and 2² is 4, therefore the answer to the question "What 2 square numbers subtract to make 357?" is 361 and 4 as illustrated below:

361 - 4 = 357

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 357. Below we list alternate solutions if available.

841 - 484 = 357
3721 - 3364 = 357
32041 - 31684 = 357

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