What 2 square numbers subtract to make 4704?

What two square numbers subtract to make 4704? In other words, when you subtract one square number from another square number, the answer is 4704. 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 = 4704

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

70² - 14² = 4704

70² is 4900 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 4704?" is 4900 and 196 as illustrated below:

4900 - 196 = 4704

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 4704. Below we list alternate solutions if available.

5329 - 625 = 4704
5929 - 1225 = 4704
9604 - 4900 = 4704

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