What 2 square numbers subtract to make 7664?

What two square numbers subtract to make 7664? In other words, when you subtract one square number from another square number, the answer is 7664. 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 = 7664

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

483² - 475² = 7664

483² is 233289 and 475² is 225625, therefore the answer to the question "What 2 square numbers subtract to make 7664?" is 233289 and 225625 as illustrated below:

233289 - 225625 = 7664

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 7664. Below we list alternate solutions if available.

921600 - 913936 = 7664

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