SOLUTION: What is the square root of 3 times the square root of 8?

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Question 142362: What is the square root of 3 times the square root of 8?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283%29%2Asqrt%288%29 Start with the given expression


sqrt%283%2A8%29 Combine the square roots. Remember sqrt%28x%29%2Asqrt%28y%29=sqrt%28x%2Ay%29


sqrt%2824%29 Multiply



sqrt%284%2A6%29 Factor 24 into 4*6


sqrt%284%29%2Asqrt%286%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


2%2Asqrt%286%29 Take the square root of the perfect square 4 to get 2



So the expression sqrt%283%29%2Asqrt%288%29 simplifies to 2%2Asqrt%286%29