What 2 square numbers subtract to make 4512?

What two square numbers subtract to make 4512? In other words, when you subtract one square number from another square number, the answer is 4512. 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 = 4512

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

71² - 23² = 4512

71² is 5041 and 23² is 529, therefore the answer to the question "What 2 square numbers subtract to make 4512?" is 5041 and 529 as illustrated below:

5041 - 529 = 4512

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 4512. Below we list alternate solutions if available.

11236 - 6724 = 4512
22201 - 17689 = 4512
37636 - 33124 = 4512

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