SOLUTION: Simplify √(6x)(√x-8√6). Thank you.

Algebra ->  Radicals -> SOLUTION: Simplify √(6x)(√x-8√6). Thank you.      Log On


   

Question 176012: Simplify √(6x)(√x-8√6). Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%286x%29%2A%28sqrt%28x%29-8%2Asqrt%286%29%29 Start with the given expression.


sqrt%286x%29%2Asqrt%28x%29-sqrt%286x%29%2A%288%2Asqrt%286%29%29 Distribute


sqrt%286x%5E2%29-sqrt%286x%29%2A%288%2Asqrt%286%29%29 Multiply sqrt%286x%29%2Asqrt%28x%29 to get sqrt%286x%29%2Asqrt%28x%29=sqrt%286x%2Ax%29=sqrt%286x%5E2%29



sqrt%286x%5E2%29-8%2Asqrt%2836x%29 Multiply sqrt%286x%29%2A%288%2Asqrt%286%29%29 to get



x%2Asqrt%286%29-8%2Asqrt%2836x%29 Simplify sqrt%286x%5E2%29 to get sqrt%286x%5E2%29=sqrt%286%29%2Asqrt%28x%5E2%29=x%2Asqrt%286%29


x%2Asqrt%286%29-8%2A6%2Asqrt%28x%29 Simplify sqrt%2836x%29 to get sqrt%2836x%29=sqrt%2836%29%2Asqrt%28x%29=6%2Asqrt%28x%29


x%2Asqrt%286%29-48%2Asqrt%28x%29 Multiply


So sqrt%286x%29%2A%28sqrt%28x%29-8%2Asqrt%286%29%29=x%2Asqrt%286%29-48%2Asqrt%28x%29 if x%3E=0