What 2 square numbers subtract to make 8285?

What two square numbers subtract to make 8285? In other words, when you subtract one square number from another square number, the answer is 8285. 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 = 8285

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

831² - 826² = 8285

831² is 690561 and 826² is 682276, therefore the answer to the question "What 2 square numbers subtract to make 8285?" is 690561 and 682276 as illustrated below:

690561 - 682276 = 8285

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 8285. Below we list alternate solutions if available.

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