Please help. This is part of my work on simplifying square roots. I don't understand this question. Could someone please explain it to me and also provide me with an solution?
I was given the answer but I still don't understand.
The answer to the problem is:
x^4 Sqrt x.
And the solution to the problem is:
Sqrt(x^2*x^2*x^2*x^2*x) = x^4 Sqrt x.
So could someone please explain this to me. It makes zero sence and I have to have this done very soon.
+33653 x^9 can be written as (x^8)*x or as (x^4)^2*x, so the square root of x^9 becomes sqrt((x^4)^2*x),
which is sqrt((x^4)^2)*sqrt(x). Now the square root of (x^4)^2 is just x^4, so sqrt((x^4)^2*x) becomes x^4*sqrt(x)
That is sqrt(x^9) = x^4*sqrt(x). (or x^4\/x in the notation specified in the question).
