What 2 square numbers subtract to make 7085?

What two square numbers subtract to make 7085? In other words, when you subtract one square number from another square number, the answer is 7085. 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 = 7085

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

87² - 22² = 7085

87² is 7569 and 22² is 484, therefore the answer to the question "What 2 square numbers subtract to make 7085?" is 7569 and 484 as illustrated below:

7569 - 484 = 7085

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 7085. Below we list alternate solutions if available.

77841 - 70756 = 7085
505521 - 498436 = 7085

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