SOLUTION: How do I write this expression as a single radical? The square root of 18 multiplied by the cubed root of 2

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Question 150032: How do I write this expression as a single radical?
The square root of 18 multiplied by the cubed root of 2

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(18)*2^(1/3)
=sqrt(9*2)*2^(1/3)
=3sqrt(2)*2^(1/3)
=3*2^(1/2)*2^(1/3)
.
1/2 + 1/3
=3/6 + 2/6
=5/6
.
3*2^(5/6)
.
Ed