What 2 square numbers subtract to make 6903?

What two square numbers subtract to make 6903? In other words, when you subtract one square number from another square number, the answer is 6903. 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 = 6903

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

88² - 29² = 6903

88² is 7744 and 29² is 841, therefore the answer to the question "What 2 square numbers subtract to make 6903?" is 7744 and 841 as illustrated below:

7744 - 841 = 6903

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 6903. Below we list alternate solutions if available.

11664 - 4761 = 6903
73984 - 67081 = 6903
150544 - 143641 = 6903

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