What 2 square numbers subtract to make 6400?

What two square numbers subtract to make 6400? In other words, when you subtract one square number from another square number, the answer is 6400. 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 = 6400

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

82² - 18² = 6400

82² is 6724 and 18² is 324, therefore the answer to the question "What 2 square numbers subtract to make 6400?" is 6724 and 324 as illustrated below:

6724 - 324 = 6400

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 6400. Below we list alternate solutions if available.

7921 - 1521 = 6400
10000 - 3600 = 6400
13456 - 7056 = 6400

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