What 2 square numbers subtract to make 675?

What two square numbers subtract to make 675? In other words, when you subtract one square number from another square number, the answer is 675. 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 = 675

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

26² - 1² = 675

26² is 676 and 1² is 1, therefore the answer to the question "What 2 square numbers subtract to make 675?" is 676 and 1 as illustrated below:

676 - 1 = 675

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 675. Below we list alternate solutions if available.

900 - 225 = 675
1764 - 1089 = 675
4900 - 4225 = 675

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