What 2 square numbers subtract to make 1427?

What two square numbers subtract to make 1427? In other words, when you subtract one square number from another square number, the answer is 1427. 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 = 1427

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

714² - 713² = 1427

714² is 509796 and 713² is 508369, therefore the answer to the question "What 2 square numbers subtract to make 1427?" is 509796 and 508369 as illustrated below:

509796 - 508369 = 1427

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 1427. Below we list alternate solutions if available.

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