What 2 square numbers subtract to make 4904?

What two square numbers subtract to make 4904? In other words, when you subtract one square number from another square number, the answer is 4904. 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 = 4904

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

615² - 611² = 4904

615² is 378225 and 611² is 373321, therefore the answer to the question "What 2 square numbers subtract to make 4904?" is 378225 and 373321 as illustrated below:

378225 - 373321 = 4904

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 4904. Below we list alternate solutions if available.

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