What 2 square numbers subtract to make 5344?

What two square numbers subtract to make 5344? In other words, when you subtract one square number from another square number, the answer is 5344. 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 = 5344

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

175² - 159² = 5344

175² is 30625 and 159² is 25281, therefore the answer to the question "What 2 square numbers subtract to make 5344?" is 30625 and 25281 as illustrated below:

30625 - 25281 = 5344

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 5344. Below we list alternate solutions if available.

114244 - 108900 = 5344
448900 - 443556 = 5344

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