What 2 square numbers subtract to make 8035?

What two square numbers subtract to make 8035? In other words, when you subtract one square number from another square number, the answer is 8035. 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 = 8035

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

806² - 801² = 8035

806² is 649636 and 801² is 641601, therefore the answer to the question "What 2 square numbers subtract to make 8035?" is 649636 and 641601 as illustrated below:

649636 - 641601 = 8035

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 8035. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 8036?
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