What 2 square numbers subtract to make 5389?

What two square numbers subtract to make 5389? In other words, when you subtract one square number from another square number, the answer is 5389. 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 = 5389

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

167² - 150² = 5389

167² is 27889 and 150² is 22500, therefore the answer to the question "What 2 square numbers subtract to make 5389?" is 27889 and 22500 as illustrated below:

27889 - 22500 = 5389

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 5389. Below we list alternate solutions if available.

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