What 2 square numbers subtract to make 8135?

What two square numbers subtract to make 8135? In other words, when you subtract one square number from another square number, the answer is 8135. 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 = 8135

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

816² - 811² = 8135

816² is 665856 and 811² is 657721, therefore the answer to the question "What 2 square numbers subtract to make 8135?" is 665856 and 657721 as illustrated below:

665856 - 657721 = 8135

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 8135. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8136?
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