What 2 square numbers subtract to make 7675?

What two square numbers subtract to make 7675? In other words, when you subtract one square number from another square number, the answer is 7675. 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 = 7675

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

166² - 141² = 7675

166² is 27556 and 141² is 19881, therefore the answer to the question "What 2 square numbers subtract to make 7675?" is 27556 and 19881 as illustrated below:

27556 - 19881 = 7675

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 7675. Below we list alternate solutions if available.

592900 - 585225 = 7675

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