SOLUTION: 2 SQRT over 3 * 6 SQRT over 6 And then you get 12 outside the radical, cause 2 * 6 = 12 But what do you get inside.

Algebra ->  Radicals -> SOLUTION: 2 SQRT over 3 * 6 SQRT over 6 And then you get 12 outside the radical, cause 2 * 6 = 12 But what do you get inside.      Log On


   

Question 212277: 2 SQRT over 3 * 6 SQRT over 6
And then you get 12 outside the radical, cause 2 * 6 = 12
But what do you get inside.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Asqrt%283%29%2A6%2Asqrt%286%29 Start with the given expression.


%282%2A6%29%2A%28sqrt%283%29%2Asqrt%286%29%29 Group like terms.


12%2A%28sqrt%283%29%2Asqrt%286%29%29 Multiply 2 and 6 to get 12


12%2Asqrt%283%2A6%29 Combine the roots using the identity sqrt%28x%29%2Asqrt%28y%29=sqrt%28x%2Ay%29


12%2Asqrt%2818%29 Multiply


12%2Asqrt%289%2A2%29 Factor 18 into 9*2


12%2Asqrt%289%29%2Asqrt%282%29 Break up the root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


12%2A3%2Asqrt%282%29 Take the square root of 9 to get 3.


36%2Asqrt%282%29 Multiply.


So 2%2Asqrt%283%29%2A6%2Asqrt%286%29=36%2Asqrt%282%29