SOLUTION: [sqrt(x)^(2/3)*sqrt(x)^(1/3)-3*sqrt(x)]/[sqrt(x)^(1/4)*sqrt(x)^(3/4)+sqrt(x)]

Algebra ->  Linear-equations -> SOLUTION: [sqrt(x)^(2/3)*sqrt(x)^(1/3)-3*sqrt(x)]/[sqrt(x)^(1/4)*sqrt(x)^(3/4)+sqrt(x)]      Log On


   

Question 1198141: [sqrt(x)^(2/3)*sqrt(x)^(1/3)-3*sqrt(x)]/[sqrt(x)^(1/4)*sqrt(x)^(3/4)+sqrt(x)]
Found 3 solutions by Edwin McCravy, ikleyn, MathTherapy:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!



Add the exponents when the powers of sqrt%28x%29 are multiplied.

 

Complete the addition:

 



%28sqrt%28x%29+-+3sqrt%28x%29%29%2F%28sqrt%28x%29%2B+sqrt%28x%29%29  

%281sqrt%28x%29+-+3sqrt%28x%29%29%2F%281sqrt%28x%29%2B+1sqrt%28x%29%29

%28-2sqrt%28x%29%29%2F%282sqrt%28x%29%29

%28-2cross%28sqrt%28x%29%29%29%2F%282cross%28sqrt%28x%29%29%29

%28-2%29%2F2

-1

Edwin

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

The problem (the writing) becomes much easier, if you introduce new variable t = sqrt(x).



Answer by MathTherapy(10552) About Me  (Show Source):