What 2 square numbers subtract to make 3147?

What two square numbers subtract to make 3147? In other words, when you subtract one square number from another square number, the answer is 3147. 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 = 3147

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

526² - 523² = 3147

526² is 276676 and 523² is 273529, therefore the answer to the question "What 2 square numbers subtract to make 3147?" is 276676 and 273529 as illustrated below:

276676 - 273529 = 3147

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 3147. Below we list alternate solutions if available.

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