SOLUTION: Simplify the radical expression: Square root of 108 divided by the square root of 2q to the 6th power I have been working on this for an hour...Please help!

Question 333898: Simplify the radical expression:
Square root of 108 divided by the square root of 2q to the 6th power
I have been working on this for an hour...Please help!
Found 3 solutions by Alan3354, stanbon, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Like this?
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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Simplify the radical expression:
Square root of 108 divided by the square root of 2q to the 6th power
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Separate the perfect square factors from the others.
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= sqrt[36/q^6]*sqrt[3/2]
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= (6/q^2)sqrt(3/2)
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= (6/q^2)(sqrt(6)/2)
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= (3/q^2)sqrt(6)
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Cheers,
Stan H.
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Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

So

Now simplify to get

So
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