SOLUTION: How do I rationalize the denominator and simply radical 8 over 3?

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Question 243612: How do I rationalize the denominator and simply radical 8 over 3?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%288%2F3%29 Start with the given expression.


sqrt%288%29%2Fsqrt%283%29 Break up the square root.


%28sqrt%288%29sqrt%283%29%29%2F%28sqrt%283%29sqrt%283%29%29 Multiply both the numerator and the denominator by sqrt%283%29


%28sqrt%288%29sqrt%283%29%29%2F%283%29 Multiply sqrt%283%29 and sqrt%283%29 to get sqrt%283%29%2Asqrt%283%29=%28sqrt%283%29%29%5E2=3


%28sqrt%2824%29%29%2F%283%29 Combine the roots.


%28sqrt%284%2A6%29%29%2F%283%29 Factor.


%28sqrt%284%29%2Asqrt%286%29%29%2F%283%29 Break up the root.


%282%2Asqrt%286%29%29%2F%283%29 Take the square root of 4 to get 2.


So sqrt%288%2F3%29=%282%2Asqrt%286%29%29%2F%283%29