What 2 square numbers subtract to make 6813?

What two square numbers subtract to make 6813? In other words, when you subtract one square number from another square number, the answer is 6813. 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 = 6813

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

383² - 374² = 6813

383² is 146689 and 374² is 139876, therefore the answer to the question "What 2 square numbers subtract to make 6813?" is 146689 and 139876 as illustrated below:

146689 - 139876 = 6813

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 6813. Below we list alternate solutions if available.

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