What 2 square numbers subtract to make 8465?

What two square numbers subtract to make 8465? In other words, when you subtract one square number from another square number, the answer is 8465. 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 = 8465

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

849² - 844² = 8465

849² is 720801 and 844² is 712336, therefore the answer to the question "What 2 square numbers subtract to make 8465?" is 720801 and 712336 as illustrated below:

720801 - 712336 = 8465

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 8465. Below we list alternate solutions if available.

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