What 2 square numbers subtract to make 3047?

What two square numbers subtract to make 3047? In other words, when you subtract one square number from another square number, the answer is 3047. 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 = 3047

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

144² - 133² = 3047

144² is 20736 and 133² is 17689, therefore the answer to the question "What 2 square numbers subtract to make 3047?" is 20736 and 17689 as illustrated below:

20736 - 17689 = 3047

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 3047. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 3048?
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