What 2 square numbers subtract to make 3603?

What two square numbers subtract to make 3603? In other words, when you subtract one square number from another square number, the answer is 3603. 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 = 3603

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

602² - 599² = 3603

602² is 362404 and 599² is 358801, therefore the answer to the question "What 2 square numbers subtract to make 3603?" is 362404 and 358801 as illustrated below:

362404 - 358801 = 3603

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 3603. Below we list alternate solutions if available.

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