SOLUTION: simplify 3rd root of(3 times the sqrt of (3))

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Question 151535: simplify
3rd root of(3 times the sqrt of (3))
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
root%283%2C3%2Asqrt%283%29%29 Start with the given expression.


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



Rewrite 3 as 3%5E1


Rewrite 3 as sqrt%283%29 as


Multiply the inner terms by adding the exponents. Note: x%5E%28y%29%2Ax%5E%28z%29=x%5E%28y%2Bz%29


Add the fractions.


Multiply the exponents.


Multiply


Reduce


sqrt%283%29 Convert back into radical notation.


So root%283%2C3%2Asqrt%283%29%29=sqrt%283%29