What 2 square numbers subtract to make 4675?

What two square numbers subtract to make 4675? In other words, when you subtract one square number from another square number, the answer is 4675. 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 = 4675

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

70² - 15² = 4675

70² is 4900 and 15² is 225, therefore the answer to the question "What 2 square numbers subtract to make 4675?" is 4900 and 225 as illustrated below:

4900 - 225 = 4675

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 4675. Below we list alternate solutions if available.

11236 - 6561 = 4675
21316 - 16641 = 4675
47524 - 42849 = 4675

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