What 2 square numbers subtract to make 4989?

What two square numbers subtract to make 4989? In other words, when you subtract one square number from another square number, the answer is 4989. 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 = 4989

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

833² - 830² = 4989

833² is 693889 and 830² is 688900, therefore the answer to the question "What 2 square numbers subtract to make 4989?" is 693889 and 688900 as illustrated below:

693889 - 688900 = 4989

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 4989. Below we list alternate solutions if available.

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