Question

simplify the radical expression √121/25

Answer 1

Answer:

sqrt(121/25)=x  

One solution was found :

                       x = (11/5)

Radical Equation entered :

    √(121/25) = x

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

    Radical already isolated

    √(121/25) = x

Step  2  :

Eliminate the radical on the left hand side :

    Raise both sides to the second power

    (√(121/25))2 = (x)2

    After squaring

    (121/25) = x2

Step  3  :

Solve the quadratic equation :

    Rearranged equation

    x2  -(121/25) = 0

    This equation has two rational roots:

      {x1, x2}={11/5,-11/5}

 

Step  4  :

Check that the first solution is correct :

    Original equation

    √(121/25) = x

    Plug in (11/5) for  x  

     √(121/25) = (11/5)

     Simplify

     √4.84 = 2.2

     Solution checks !!

    Solution is:

     x = (11/5)

Step  5  :

Check that the second solution is correct :

    Original equation

    √(121/25) = x

    Plug in  -(11/5) for  x  

     √(121/25) = (-11/5)

     Simplify

     √4.84 = -2.2

     Solution does not check

     2.2 ≠ -2.2  

One solution was found :

                       x = (11/5)

Answer 2

Step-by-step explanation:

simplify the radical expression √121/25

√11×11/√5×5

11/5