What 2 square numbers subtract to make 531?

What two square numbers subtract to make 531? In other words, when you subtract one square number from another square number, the answer is 531. 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 = 531

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

34² - 25² = 531

34² is 1156 and 25² is 625, therefore the answer to the question "What 2 square numbers subtract to make 531?" is 1156 and 625 as illustrated below:

1156 - 625 = 531

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 531. Below we list alternate solutions if available.

8100 - 7569 = 531
70756 - 70225 = 531

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