What 2 square numbers subtract to make 8335?

What two square numbers subtract to make 8335? In other words, when you subtract one square number from another square number, the answer is 8335. 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 = 8335

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

836² - 831² = 8335

836² is 698896 and 831² is 690561, therefore the answer to the question "What 2 square numbers subtract to make 8335?" is 698896 and 690561 as illustrated below:

698896 - 690561 = 8335

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 8335. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8336?
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