What 2 square numbers subtract to make 7135?

What two square numbers subtract to make 7135? In other words, when you subtract one square number from another square number, the answer is 7135. 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 = 7135

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

716² - 711² = 7135

716² is 512656 and 711² is 505521, therefore the answer to the question "What 2 square numbers subtract to make 7135?" is 512656 and 505521 as illustrated below:

512656 - 505521 = 7135

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 7135. Below we list alternate solutions if available.

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