SOLUTION: what is radical 3 over 2 radical 6?

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Question 155849: what is radical 3 over 2 radical 6?
Answer by Adam(64) About Me  (Show Source):
You can put this solution on YOUR website!
The wording of the problem is not very clear but I'll try to tackle it as I understand it. Here it is rewritten into legible and (hopefully) equivalent form.
sqrt%283%29%2F%282%2Asqrt%286%29%29
2+=+sqrt%284%29
sqrt%284%29%2Asqrt%286%29+=+sqrt%2824%29
sqrt%283%29%2Fsqrt%2824%29+=+sqrt%283%2F24%29+=+sqrt%281%2F8%29+=+1%2Fsqrt%288%29 //*sqrt%282%29

(it's usually good to get rid of the fractions in the denominator)
I am using two basic laws of radicals, that:
a) sqrt%28a%29+%2A+sqrt%28b%29+=+sqrt%28a%2Ab%29
b) sqrt%28a%29%2Fsqrt%28b%29+=+sqrt%28a%2Fb%29
Cheers,
Adam