SOLUTION: The square root of 140x^5 divided by the square root of 5x. The question asks to simplify the rational expression.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The square root of 140x^5 divided by the square root of 5x. The question asks to simplify the rational expression.      Log On


   

Question 810070: The square root of 140x^5 divided by the square root of 5x.
The question asks to simplify the rational expression.
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%28140x%5E5%29%2Fsqrt%285x%29%29
to rationalize take the number on the bottom...
it is a squareroot. we do not like squareroots.
multiply the top and the bottom by the squareroot of 5x.
The squareroot of 5x times the squareroot of 5x is just 5x.
%28sqrt%28700x%5E6%29%2F5x%29
%28sqrt%287%2A10%2A10%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%29%2F5x%29
%2810x%5E3%2Asqrt%287%29%2F5x%29
simplify
2x%5E2%2Asqrt%287%29