SOLUTION: Solve the equation. √96 / x√23 = 1/2 If you could put down all the steps I would appreciate it!!!!

Algebra ->  Radicals -> SOLUTION: Solve the equation. √96 / x√23 = 1/2 If you could put down all the steps I would appreciate it!!!!      Log On


   

Question 143254: Solve the equation. √96 / x√23 = 1/2
If you could put down all the steps I would appreciate it!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2896%29%2F%28x%2Asqrt%2823%29%29=1%2F2 Start with the given equation


2%2Asqrt%2896%29=x%2Asqrt%2823%29 Cross multiply


%282%2Asqrt%2896%29%29%2Fsqrt%2823%29=x Divide both sides by sqrt%2823%29 to isolate x


%282%2A4%2Asqrt%286%29%29%2Fsqrt%2823%29=x Rewrite sqrt%2896%29 as 4%2Asqrt%286%29


%288%2Asqrt%286%29%29%2Fsqrt%2823%29=x Multiply





So our answer is x=%288%2Asqrt%286%29%29%2Fsqrt%2823%29 which is approximately x=4.08603