What 2 square numbers subtract to make 8355?

What two square numbers subtract to make 8355? In other words, when you subtract one square number from another square number, the answer is 8355. 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 = 8355

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

286² - 271² = 8355

286² is 81796 and 271² is 73441, therefore the answer to the question "What 2 square numbers subtract to make 8355?" is 81796 and 73441 as illustrated below:

81796 - 73441 = 8355

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 8355. Below we list alternate solutions if available.

702244 - 693889 = 8355

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