What 2 square numbers subtract to make 8451?

What two square numbers subtract to make 8451? In other words, when you subtract one square number from another square number, the answer is 8451. 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 = 8451

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

170² - 143² = 8451

170² is 28900 and 143² is 20449, therefore the answer to the question "What 2 square numbers subtract to make 8451?" is 28900 and 20449 as illustrated below:

28900 - 20449 = 8451

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 8451. Below we list alternate solutions if available.

224676 - 216225 = 8451

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