What 2 square numbers subtract to make 1803?

What two square numbers subtract to make 1803? In other words, when you subtract one square number from another square number, the answer is 1803. 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 = 1803

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

302² - 299² = 1803

302² is 91204 and 299² is 89401, therefore the answer to the question "What 2 square numbers subtract to make 1803?" is 91204 and 89401 as illustrated below:

91204 - 89401 = 1803

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 1803. Below we list alternate solutions if available.

813604 - 811801 = 1803

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