What 2 square numbers subtract to make 7605?

What two square numbers subtract to make 7605? In other words, when you subtract one square number from another square number, the answer is 7605. 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 = 7605

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

91² - 26² = 7605

91² is 8281 and 26² is 676, therefore the answer to the question "What 2 square numbers subtract to make 7605?" is 8281 and 676 as illustrated below:

8281 - 676 = 7605

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 7605. Below we list alternate solutions if available.

11449 - 3844 = 7605
13689 - 6084 = 7605
68121 - 60516 = 7605

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