What 2 square numbers subtract to make 7725?

What two square numbers subtract to make 7725? In other words, when you subtract one square number from another square number, the answer is 7725. 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 = 7725

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

89² - 14² = 7725

89² is 7921 and 14² is 196, therefore the answer to the question "What 2 square numbers subtract to make 7725?" is 7921 and 196 as illustrated below:

7921 - 196 = 7725

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 7725. Below we list alternate solutions if available.

27889 - 20164 = 7725
70225 - 62500 = 7725
600625 - 592900 = 7725

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