What 2 square numbers subtract to make 6352?

What two square numbers subtract to make 6352? In other words, when you subtract one square number from another square number, the answer is 6352. 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 = 6352

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

401² - 393² = 6352

401² is 160801 and 393² is 154449, therefore the answer to the question "What 2 square numbers subtract to make 6352?" is 160801 and 154449 as illustrated below:

160801 - 154449 = 6352

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 6352. Below we list alternate solutions if available.

633616 - 627264 = 6352

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