# Does the nth root of x2 always exist?

The nth root of x2 can be expressed as:

x2/n

Thinking of it that way, we can see that no, it can't always exist - but almost always. The only condition in which it can't exist is when n = 0, as that would give us division by zero.

### What is the gramataical mean of 4 and 9?

1There is no such thing as a "gramataical" mean. There are 3 basic means, and the chart below should clarify that. Assuming you meant "geometric" mean, we have: nth root of (x1 * x2 * ... * xn) or (x1 * x2 * ... * xn)1/n. Thus, plugging in the values, we have: (4 * 9)1/2 which is a square root, gives the value: sqrt(4 * 9). Distribute (or simply multiply) the values with the…

### How do you factor x2-45?

If you are using integers, it is prime. x2 - 45 can be factored as the difference of squares IF you use irrational numbers (sq roots) Ex x2 - 16 = (x + 4)(x - 4) ..... notice 4 is sq root of 16 so you can sreate a rule... x2 - A = (x + sq root A)(x - sq root A) So ... AND THIS IS SOMETHING NO HIGH SCHOOL BOOK EVER TEACHES…