SOLUTION: please simplify this radical expression: 2√6 ÷ ¼√72

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Question 163465: please simplify this radical expression:
2√6 ÷ ¼√72
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%282sqrt%286%29%29%2F%28sqrt%2872%29%2F4%29
Start multiplying numerator and denominator by 4:
%28%282sqrt%286%29%29%2F%28sqrt%2872%29%2F4%29%29+%2A+%284%2F4%29
+%288sqrt%286%29%29%2F%28sqrt%2872%29%29
Now, factor the stuff under the radical:
+%288sqrt%282%2A3%29%29%2F%28sqrt%282%2A2%2A2%2A3%2A3%29%29
Pull out "pairs" from underneath the radical:
+%288sqrt%282%2A3%29%29%2F%282%2A3%29%28sqrt%282%29%29
+%288sqrt%282%2A3%29%29%2F6%28sqrt%282%29%29
+%284sqrt%282%2A3%29%29%2F3sqrt%282%29
We can also break up the radical in the numerator thus:
+%284sqrt%282%29sqrt%283%29%29%2F3sqrt%282%29
Canceling like-terms:
+%284sqrt%283%29%29%2F3