What 2 square numbers subtract to make 8344?

What two square numbers subtract to make 8344? In other words, when you subtract one square number from another square number, the answer is 8344. 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 = 8344

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

163² - 135² = 8344

163² is 26569 and 135² is 18225, therefore the answer to the question "What 2 square numbers subtract to make 8344?" is 26569 and 18225 as illustrated below:

26569 - 18225 = 8344

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 8344. Below we list alternate solutions if available.

93025 - 84681 = 8344

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