What 2 square numbers subtract to make 2949?

What two square numbers subtract to make 2949? In other words, when you subtract one square number from another square number, the answer is 2949. 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 = 2949

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

493² - 490² = 2949

493² is 243049 and 490² is 240100, therefore the answer to the question "What 2 square numbers subtract to make 2949?" is 243049 and 240100 as illustrated below:

243049 - 240100 = 2949

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 2949. Below we list alternate solutions if available.

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