What 2 square numbers subtract to make 665?

What two square numbers subtract to make 665? In other words, when you subtract one square number from another square number, the answer is 665. 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 = 665

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

27² - 8² = 665

27² is 729 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 665?" is 729 and 64 as illustrated below:

729 - 64 = 665

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 665. Below we list alternate solutions if available.

2601 - 1936 = 665
4761 - 4096 = 665
110889 - 110224 = 665

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