What 2 square numbers subtract to make 3703?

What two square numbers subtract to make 3703? In other words, when you subtract one square number from another square number, the answer is 3703. 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 = 3703

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

92² - 69² = 3703

92² is 8464 and 69² is 4761, therefore the answer to the question "What 2 square numbers subtract to make 3703?" is 8464 and 4761 as illustrated below:

8464 - 4761 = 3703

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 3703. Below we list alternate solutions if available.

71824 - 68121 = 3703

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