What 2 square numbers subtract to make 4713?

What two square numbers subtract to make 4713? In other words, when you subtract one square number from another square number, the answer is 4713. 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 = 4713

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

787² - 784² = 4713

787² is 619369 and 784² is 614656, therefore the answer to the question "What 2 square numbers subtract to make 4713?" is 619369 and 614656 as illustrated below:

619369 - 614656 = 4713

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 4713. Below we list alternate solutions if available.

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