SOLUTION: Here is the problem: I'm trying to simplify the square root of x^3 and the square root of x, written like (square root x^3)(square root of x). The value of x here is x>0. Why is

Algebra ->  Radicals -> SOLUTION: Here is the problem: I'm trying to simplify the square root of x^3 and the square root of x, written like (square root x^3)(square root of x). The value of x here is x>0. Why is      Log On


   

Question 87073This question is from textbook Painless Algebra
: Here is the problem: I'm trying to simplify the square root of x^3 and the square root of x, written like (square root x^3)(square root of x). The value of x here is x>0. Why is the answer x^2? (I have all the answers in my book, but I really like to know just how to work it out, instead of just writing that answer.)
Thank you! This question is from textbook Painless Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(square root x^3)(square root of x)
= sqrt(x^3)*sqrt(x)
Rule: sqrt(A)*sqrt(B)=sqrt(AB)
= sqrt(x^4)
= x^2
because x^2*x^2=x^4
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Cheers,
Stan H.