What 2 square numbers subtract to make 655?

What two square numbers subtract to make 655? In other words, when you subtract one square number from another square number, the answer is 655. 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 = 655

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

68² - 63² = 655

68² is 4624 and 63² is 3969, therefore the answer to the question "What 2 square numbers subtract to make 655?" is 4624 and 3969 as illustrated below:

4624 - 3969 = 655

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 655. Below we list alternate solutions if available.

107584 - 106929 = 655

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