SOLUTION: I am having trouble with this problem... maybe someone can of any assistance! Solve: 3^√x^2 = 4 ( This is translated as 3 cubed the square root of x square

Algebra ->  Radicals -> SOLUTION: I am having trouble with this problem... maybe someone can of any assistance! Solve: 3^√x^2 = 4 ( This is translated as 3 cubed the square root of x square      Log On


   

Question 72753: I am having trouble with this problem... maybe someone can of any assistance!
Solve:
3^√x^2 = 4
( This is translated as 3 cubed the square root of x squared equals 4) "^" means it is either cubed or squared.... Thank you

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!



If the problem is ³sqrt%28x%5E2%29 = 4 or the cube root of x^2 = 4



        

                  ³sqrt%28x%5E2%29³ = 4³    let us undo cube root 

                                x^2 = 64    extract the sqrt

                           sqrt x^2 = sqrt 64

                                  x = 8

 



Checking : x = 8



      ³sqrt%288%5E2%29 = 4  

       ³sqrt%2864%29 = 4

    ³sqrt%284%2A4%2A4%29 = 4

                     4 = 4 ----------->>True 





Therefore x = 4