What 2 square numbers subtract to make 6324?

What two square numbers subtract to make 6324? In other words, when you subtract one square number from another square number, the answer is 6324. 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 = 6324

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

82² - 20² = 6324

82² is 6724 and 20² is 400, therefore the answer to the question "What 2 square numbers subtract to make 6324?" is 6724 and 400 as illustrated below:

6724 - 400 = 6324

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 6324. Below we list alternate solutions if available.

12100 - 5776 = 6324
280900 - 274576 = 6324

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