What 2 square numbers subtract to make 813?

What two square numbers subtract to make 813? In other words, when you subtract one square number from another square number, the answer is 813. 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 = 813

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

137² - 134² = 813

137² is 18769 and 134² is 17956, therefore the answer to the question "What 2 square numbers subtract to make 813?" is 18769 and 17956 as illustrated below:

18769 - 17956 = 813

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 813. Below we list alternate solutions if available.

165649 - 164836 = 813

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