What 2 square numbers subtract to make 8605?

What two square numbers subtract to make 8605? In other words, when you subtract one square number from another square number, the answer is 8605. 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 = 8605

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

863² - 858² = 8605

863² is 744769 and 858² is 736164, therefore the answer to the question "What 2 square numbers subtract to make 8605?" is 744769 and 736164 as illustrated below:

744769 - 736164 = 8605

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 8605. Below we list alternate solutions if available.

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