What 2 square numbers subtract to make 4699?

What two square numbers subtract to make 4699? In other words, when you subtract one square number from another square number, the answer is 4699. 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 = 4699

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

82² - 45² = 4699

82² is 6724 and 45² is 2025, therefore the answer to the question "What 2 square numbers subtract to make 4699?" is 6724 and 2025 as illustrated below:

6724 - 2025 = 4699

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 4699. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 4700?
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