What 2 square numbers subtract to make 6304?

What two square numbers subtract to make 6304? In other words, when you subtract one square number from another square number, the answer is 6304. 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 = 6304

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

205² - 189² = 6304

205² is 42025 and 189² is 35721, therefore the answer to the question "What 2 square numbers subtract to make 6304?" is 42025 and 35721 as illustrated below:

42025 - 35721 = 6304

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 6304. Below we list alternate solutions if available.

158404 - 152100 = 6304
624100 - 617796 = 6304

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