What 2 square numbers subtract to make 6204?

What two square numbers subtract to make 6204? In other words, when you subtract one square number from another square number, the answer is 6204. 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 = 6204

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

80² - 14² = 6204

80² is 6400 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 6204?" is 6400 and 196 as illustrated below:

6400 - 196 = 6204

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 6204. Below we list alternate solutions if available.

23104 - 16900 = 6204
270400 - 264196 = 6204

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