What 2 square numbers subtract to make 3453?

What two square numbers subtract to make 3453? In other words, when you subtract one square number from another square number, the answer is 3453. 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 = 3453

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

577² - 574² = 3453

577² is 332929 and 574² is 329476, therefore the answer to the question "What 2 square numbers subtract to make 3453?" is 332929 and 329476 as illustrated below:

332929 - 329476 = 3453

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 3453. Below we list alternate solutions if available.

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