What 2 square numbers subtract to make 427?

What two square numbers subtract to make 427? In other words, when you subtract one square number from another square number, the answer is 427. 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 = 427

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

34² - 27² = 427

34² is 1156 and 27² is 729, therefore the answer to the question "What 2 square numbers subtract to make 427?" is 1156 and 729 as illustrated below:

1156 - 729 = 427

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 427. Below we list alternate solutions if available.

45796 - 45369 = 427

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