What 2 square numbers subtract to make 6201?

What two square numbers subtract to make 6201? In other words, when you subtract one square number from another square number, the answer is 6201. 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 = 6201

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

85² - 32² = 6201

85² is 7225 and 32² is 1024, therefore the answer to the question "What 2 square numbers subtract to make 6201?" is 7225 and 1024 as illustrated below:

7225 - 1024 = 6201

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 6201. Below we list alternate solutions if available.

9801 - 3600 = 6201
60025 - 53824 = 6201
121801 - 115600 = 6201

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