What 2 square numbers subtract to make 6200?

What two square numbers subtract to make 6200? In other words, when you subtract one square number from another square number, the answer is 6200. 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 = 6200

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

81² - 19² = 6200

81² is 6561 and 19² is 361, therefore the answer to the question "What 2 square numbers subtract to make 6200?" is 6561 and 361 as illustrated below:

6561 - 361 = 6200

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 6200. Below we list alternate solutions if available.

7569 - 1369 = 6200
27225 - 21025 = 6200
99225 - 93025 = 6200

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