What 2 square numbers subtract to make 7749?

What two square numbers subtract to make 7749? In other words, when you subtract one square number from another square number, the answer is 7749. 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 = 7749

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

93² - 30² = 7749

93² is 8649 and 30² is 900, therefore the answer to the question "What 2 square numbers subtract to make 7749?" is 8649 and 900 as illustrated below:

8649 - 900 = 7749

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 7749. Below we list alternate solutions if available.

13225 - 5476 = 7749
24649 - 16900 = 7749
38025 - 30276 = 7749

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