What 2 square numbers subtract to make 1703?

What two square numbers subtract to make 1703? In other words, when you subtract one square number from another square number, the answer is 1703. 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 = 1703

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

72² - 59² = 1703

72² is 5184 and 59² is 3481, therefore the answer to the question "What 2 square numbers subtract to make 1703?" is 5184 and 3481 as illustrated below:

5184 - 3481 = 1703

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 1703. Below we list alternate solutions if available.

725904 - 724201 = 1703

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