What 2 square numbers subtract to make 645?

What two square numbers subtract to make 645? In other words, when you subtract one square number from another square number, the answer is 645. 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 = 645

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

29² - 14² = 645

29² is 841 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 645?" is 841 and 196 as illustrated below:

841 - 196 = 645

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 645. Below we list alternate solutions if available.

4489 - 3844 = 645
11881 - 11236 = 645
104329 - 103684 = 645

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