SOLUTION: I need to rationalize the denominator and simplify. The question is 4 over the square root 125x. Thank YOU!

Algebra ->  Square-cubic-other-roots -> SOLUTION: I need to rationalize the denominator and simplify. The question is 4 over the square root 125x. Thank YOU!      Log On


   

Question 887704: I need to rationalize the denominator and simplify. The question is 4 over the square root 125x. Thank YOU!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To rationalize the denominator, multiply top and bottom of the fraction by sqrt%28125x%29 to get

4%2F%28sqrt%28125x%29%29

%284%2Asqrt%28125x%29%29%2F%28sqrt%28125x%29%2Asqrt%28125x%29%29

%284%2Asqrt%28125x%29%29%2F%28%28sqrt%28125x%29%29%5E2%29

%284%2Asqrt%28125x%29%29%2F%28125x%29

%284%2Asqrt%2825%2A5x%29%29%2F%28125x%29

%284%2Asqrt%2825%29%2Asqrt%285x%29%29%2F%28125x%29

%284%2A5%2Asqrt%285x%29%29%2F%28125x%29

%284%2A5%2Asqrt%285x%29%29%2F%285%2A25x%29

%284%2Across%285%29%2Asqrt%285x%29%29%2F%28cross%285%29%2A25x%29

%284%2Asqrt%285x%29%29%2F%2825x%29

-------------------------------------------------------

After rationalizing the denominator, we go from 4%2F%28sqrt%28125x%29%29 to %284%2Asqrt%285x%29%29%2F%2825x%29