What 2 square numbers subtract to make 6123?

What two square numbers subtract to make 6123? In other words, when you subtract one square number from another square number, the answer is 6123. 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 = 6123

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

98² - 59² = 6123

98² is 9604 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 6123?" is 9604 and 3481 as illustrated below:

9604 - 3481 = 6123

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 6123. Below we list alternate solutions if available.

58564 - 52441 = 6123

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