What 2 square numbers subtract to make 4655?

What two square numbers subtract to make 4655? In other words, when you subtract one square number from another square number, the answer is 4655. 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 = 4655

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

72² - 23² = 4655

72² is 5184 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 4655?" is 5184 and 529 as illustrated below:

5184 - 529 = 4655

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 4655. Below we list alternate solutions if available.

7056 - 2401 = 4655
17424 - 12769 = 4655
112896 - 108241 = 4655

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