Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 151535: simplify
3rd root of(3 times the sqrt of (3))
: simplify
3rd root of(3 times the sqrt of (3))

Answer by jim_thompson5910(9217) About Me  (Show Source):
You can put this solution on YOUR website!
root(3,3*sqrt(3)) Start with the given expression.


Convert the cube root radical into rational exponent notation. Note:



Rewrite 3 as 3^1


Rewrite 3 as sqrt(3) as


Multiply the inner terms by adding the exponents. Note: x^(y)*x^(z)=x^(y+z)


Add the fractions.


Multiply the exponents.


Multiply


Reduce


sqrt(3) Convert back into radical notation.


So root(3,3*sqrt(3))=sqrt(3)