What 2 square numbers subtract to make 5349?

What two square numbers subtract to make 5349? In other words, when you subtract one square number from another square number, the answer is 5349. 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 = 5349

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

893² - 890² = 5349

893² is 797449 and 890² is 792100, therefore the answer to the question "What 2 square numbers subtract to make 5349?" is 797449 and 792100 as illustrated below:

797449 - 792100 = 5349

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 5349. Below we list alternate solutions if available.

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