What 2 square numbers subtract to make 6655?

What two square numbers subtract to make 6655? In other words, when you subtract one square number from another square number, the answer is 6655. 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 = 6655

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

88² - 33² = 6655

88² is 7744 and 33² is 1089, therefore the answer to the question "What 2 square numbers subtract to make 6655?" is 7744 and 1089 as illustrated below:

7744 - 1089 = 6655

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 6655. Below we list alternate solutions if available.

94864 - 88209 = 6655
446224 - 439569 = 6655

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