What 2 square numbers subtract to make 1512?

What two square numbers subtract to make 1512? In other words, when you subtract one square number from another square number, the answer is 1512. 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 = 1512

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

39² - 3² = 1512

39² is 1521 and 3² is 9, therefore the answer to the question "What 2 square numbers subtract to make 1512?" is 1521 and 9 as illustrated below:

1521 - 9 = 1512

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 1512. Below we list alternate solutions if available.

1681 - 169 = 1512
2601 - 1089 = 1512
3721 - 2209 = 1512

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