What 2 square numbers subtract to make 8789?

What two square numbers subtract to make 8789? In other words, when you subtract one square number from another square number, the answer is 8789. 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 = 8789

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

117² - 70² = 8789

117² is 13689 and 70² is 4900, therefore the answer to the question "What 2 square numbers subtract to make 8789?" is 13689 and 4900 as illustrated below:

13689 - 4900 = 8789

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 8789. Below we list alternate solutions if available.

71289 - 62500 = 8789
164025 - 155236 = 8789

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