SOLUTION: What is the square root of 8 times the aquare root of 12? What is 3 times the aquare root of 5 times the aquare root of 5?

Algebra ->  Radicals -> SOLUTION: What is the square root of 8 times the aquare root of 12? What is 3 times the aquare root of 5 times the aquare root of 5?      Log On


   

Question 142359: What is the square root of 8 times the aquare root of 12?
What is 3 times the aquare root of 5 times the aquare root of 5?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%288%29%2Asqrt%2812%29 Start with the given expression


sqrt%288%2A12%29 Combine the square roots. Remember sqrt%28x%29%2Asqrt%28y%29=sqrt%28x%2Ay%29


sqrt%2896%29 Multiply



sqrt%2816%2A6%29 Factor 96 into 16*6


sqrt%2816%29%2Asqrt%286%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


4%2Asqrt%286%29 Take the square root of the perfect square 16 to get 4


So the expression sqrt%288%29%2Asqrt%2812%29 simplifies to 4%2Asqrt%286%29