What 2 square numbers subtract to make 4765?

What two square numbers subtract to make 4765? In other words, when you subtract one square number from another square number, the answer is 4765. 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 = 4765

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

479² - 474² = 4765

479² is 229441 and 474² is 224676, therefore the answer to the question "What 2 square numbers subtract to make 4765?" is 229441 and 224676 as illustrated below:

229441 - 224676 = 4765

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 4765. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4766?
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