What 2 square numbers subtract to make 4731?

What two square numbers subtract to make 4731? In other words, when you subtract one square number from another square number, the answer is 4731. 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 = 4731

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

70² - 13² = 4731

70² is 4900 and 13² is 169, therefore the answer to the question "What 2 square numbers subtract to make 4731?" is 4900 and 169 as illustrated below:

4900 - 169 = 4731

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 4731. Below we list alternate solutions if available.

17956 - 13225 = 4731
624100 - 619369 = 4731

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