What 2 square numbers subtract to make 6525?

What two square numbers subtract to make 6525? In other words, when you subtract one square number from another square number, the answer is 6525. 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 = 6525

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

81² - 6² = 6525

81² is 6561 and 6² is 36, therefore the answer to the question "What 2 square numbers subtract to make 6525?" is 6561 and 36 as illustrated below:

6561 - 36 = 6525

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 6525. Below we list alternate solutions if available.

9025 - 2500 = 6525
16129 - 9604 = 6525
20449 - 13924 = 6525

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