What 2 square numbers subtract to make 1413?

What two square numbers subtract to make 1413? In other words, when you subtract one square number from another square number, the answer is 1413. 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 = 1413

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

83² - 74² = 1413

83² is 6889 and 74² is 5476, therefore the answer to the question "What 2 square numbers subtract to make 1413?" is 6889 and 5476 as illustrated below:

6889 - 5476 = 1413

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 1413. Below we list alternate solutions if available.

56169 - 54756 = 1413
499849 - 498436 = 1413

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