What 2 square numbers subtract to make 4701?

What two square numbers subtract to make 4701? In other words, when you subtract one square number from another square number, the answer is 4701. 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 = 4701

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

785² - 782² = 4701

785² is 616225 and 782² is 611524, therefore the answer to the question "What 2 square numbers subtract to make 4701?" is 616225 and 611524 as illustrated below:

616225 - 611524 = 4701

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 4701. Below we list alternate solutions if available.

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