What 2 square numbers subtract to make 5216?

What two square numbers subtract to make 5216? In other words, when you subtract one square number from another square number, the answer is 5216. 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 = 5216

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

171² - 155² = 5216

171² is 29241 and 155² is 24025, therefore the answer to the question "What 2 square numbers subtract to make 5216?" is 29241 and 24025 as illustrated below:

29241 - 24025 = 5216

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 5216. Below we list alternate solutions if available.

108900 - 103684 = 5216
427716 - 422500 = 5216

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