What 2 square numbers subtract to make 2151?

What two square numbers subtract to make 2151? In other words, when you subtract one square number from another square number, the answer is 2151. 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 = 2151

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

124² - 115² = 2151

124² is 15376 and 115² is 13225, therefore the answer to the question "What 2 square numbers subtract to make 2151?" is 15376 and 13225 as illustrated below:

15376 - 13225 = 2151

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 2151. Below we list alternate solutions if available.

129600 - 127449 = 2151

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