SOLUTION: I do not understand how to solve this problem. It says solve and check the following equation. 3+(√3a+3)=9 thank you

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I do not understand how to solve this problem. It says solve and check the following equation. 3+(√3a+3)=9 thank you      Log On


   

Question 498856: I do not understand how to solve this problem. It says solve and check the following equation.
3+(√3a+3)=9
thank you
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Presumably you are required to solve for the variable a.
3%2B%28sqrt%283%2B3%29%29+=+9 Simplify.
6%2Bsqt%283%29a+=+9 Subtract 6 from both sides.
sqrt%283%29a+=+3 Divide both sides by sqrt%283%29
a+=+3%2Fsqrt%283%29 Rationalise the denominator.
a+=+3sqrt%283%29%2F%28sqrt%283%29%2Asqrt%283%29%29 Simplify.
a+=+3sqrt%283%29%2F3 Cancel the 3's.
highlight%28a+=+sqrt%283%29%29