What 2 square numbers subtract to make 6575?

What two square numbers subtract to make 6575? In other words, when you subtract one square number from another square number, the answer is 6575. 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 = 6575

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

144² - 119² = 6575

144² is 20736 and 119² is 14161, therefore the answer to the question "What 2 square numbers subtract to make 6575?" is 20736 and 14161 as illustrated below:

20736 - 14161 = 6575

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 6575. Below we list alternate solutions if available.

435600 - 429025 = 6575

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