What 2 square numbers subtract to make 1203?

What two square numbers subtract to make 1203? In other words, when you subtract one square number from another square number, the answer is 1203. 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 = 1203

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

202² - 199² = 1203

202² is 40804 and 199² is 39601, therefore the answer to the question "What 2 square numbers subtract to make 1203?" is 40804 and 39601 as illustrated below:

40804 - 39601 = 1203

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 1203. Below we list alternate solutions if available.

362404 - 361201 = 1203

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