What 2 square numbers subtract to make 2076?

What two square numbers subtract to make 2076? In other words, when you subtract one square number from another square number, the answer is 2076. 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 = 2076

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

176² - 170² = 2076

176² is 30976 and 170² is 28900, therefore the answer to the question "What 2 square numbers subtract to make 2076?" is 30976 and 28900 as illustrated below:

30976 - 28900 = 2076

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 2076. Below we list alternate solutions if available.

270400 - 268324 = 2076

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