What 2 square numbers subtract to make 6335?

What two square numbers subtract to make 6335? In other words, when you subtract one square number from another square number, the answer is 6335. 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 = 6335

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

108² - 73² = 6335

108² is 11664 and 73² is 5329, therefore the answer to the question "What 2 square numbers subtract to make 6335?" is 11664 and 5329 as illustrated below:

11664 - 5329 = 6335

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 6335. Below we list alternate solutions if available.

207936 - 201601 = 6335
404496 - 398161 = 6335

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