SOLUTION: Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. 12 + sqrt108 / 6

Algebra ->  Expressions-with-variables -> SOLUTION: Perform the indicated division. Rationalize the denominator if necessary. Then simplify each radical expression. 12 + sqrt108 / 6       Log On


   

Question 109243: Perform the indicated division. Rationalize the denominator if necessary. Then simplify
each radical expression.
12 + sqrt108 / 6
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume you mean:
%2812+%2B+sqrt%28108%29%29%2F6
:
Factor to see the perfect square inside the radical:
%2812+%2B+sqrt%2836%2A3%29%29%2F6
:
Extract the square root of 36 and you have:
%2812+%2B+6%2Asqrt%283%29%29%2F6
:
same as:
12%2F6 + %286%2Asqrt%283%29%29%2F6
:
Cancel out 6:
2+%2B+sqrt%283%29