What 2 square numbers subtract to make 6825?

What two square numbers subtract to make 6825? In other words, when you subtract one square number from another square number, the answer is 6825. 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 = 6825

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

83² - 8² = 6825

83² is 6889 and 8² is 64, therefore the answer to the question "What 2 square numbers subtract to make 6825?" is 6889 and 64 as illustrated below:

6889 - 64 = 6825

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 6825. Below we list alternate solutions if available.

7225 - 400 = 6825
11449 - 4624 = 6825
13225 - 6400 = 6825

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