What 2 square numbers subtract to make 9645?

What two square numbers subtract to make 9645? In other words, when you subtract one square number from another square number, the answer is 9645. 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 = 9645

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

329² - 314² = 9645

329² is 108241 and 314² is 98596, therefore the answer to the question "What 2 square numbers subtract to make 9645?" is 108241 and 98596 as illustrated below:

108241 - 98596 = 9645

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 9645. Below we list alternate solutions if available.

935089 - 925444 = 9645

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