SOLUTION: How do you divide radicals? Like...2 to the square root of 6 divided by 3 to the square root of 18?

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Question 468150: How do you divide radicals?
Like...2 to the square root of 6 divided by 3 to the square root of 18?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do you divide radicals?
Like...2 to the square root of 6 divided by 3 to the square root of 18?
sqrt%28a%29%2Fsqrt%28b%29+=+sqrt%28a%2Fb%29
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2sqrt%286%29%2F3sqrt%2818%29+=+%282%2F3%29%2Asqrt%286%2F18%29
= %282%2F3%29%2Asqrt%281%2F3%29
It's not good to have fractions in a radical, so
=
= %282%2F9%29%2Asqrt%283%29