What 2 square numbers subtract to make 227?

What two square numbers subtract to make 227? In other words, when you subtract one square number from another square number, the answer is 227. 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 = 227

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

114² - 113² = 227

114² is 12996 and 113² is 12769, therefore the answer to the question "What 2 square numbers subtract to make 227?" is 12996 and 12769 as illustrated below:

12996 - 12769 = 227

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 227. Below we list alternate solutions if available.

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What 2 square numbers subtract to make 228?
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