9+radical 48/12

Question

simplify the problem 

Answer 1

Hi Zach,

 

We'll simplify step-by-step:

    1.  Write original expression:

             9 + √48/√12 

    2.  Identify the perfect square within each radical:

             9 + [(√16)(√3)]/[(√4)(√3)]

    3.  Evaluate the perfect square within each radical:

             9 + 4√3/2√3

    4.  Cancel common radical factor:

             9 + 4/2

    5.  Evaluate quotient term:

             9 + 2

    6.  Combine like terms:

             11 (our answer)

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.