SOLUTION: how do i simplify sqrt(6)/sqrt(7) * sqrt(14)/sqrt(3)

Algebra ->  Algebra  -> Radicals -> SOLUTION: how do i simplify sqrt(6)/sqrt(7) * sqrt(14)/sqrt(3)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 183016: how do i simplify
sqrt(6)/sqrt(7) * sqrt(14)/sqrt(3)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%286%29%2Fsqrt%287%29%29%28sqrt%2814%29%2Fsqrt%283%29%29 Start with the given expression.


%28sqrt%286%29%2Asqrt%2814%29%29%2F%28sqrt%287%29%2Asqrt%283%29%29 Combine the fractions.


%28sqrt%286%2A14%29%29%2F%28sqrt%287%2A3%29%29 Combine the roots.


%28sqrt%2884%29%29%2F%28sqrt%2821%29%29 Multiply


%28sqrt%284%2A21%29%29%2F%28sqrt%2821%29%29 Factor 84 into 4%2A21


%28sqrt%284%29%2Asqrt%2821%29%29%2F%28sqrt%2821%29%29 Break up the root.


%282%2Asqrt%2821%29%29%2F%28sqrt%2821%29%29 Take the square root of 4 to get 2


%282%2Ahighlight%28sqrt%2821%29%29%29%2F%28highlight%28sqrt%2821%29%29%29 Highlight the common terms.


%282%2Across%28sqrt%2821%29%29%29%2F%28cross%28sqrt%2821%29%29%29 Cancel out the common terms.


2 Simplify


==========================================

Answer:


So %28sqrt%286%29%2Fsqrt%287%29%29%28sqrt%2814%29%2Fsqrt%283%29%29=2