How do you evaluate (\frac { \sqrt { 3} } { 2} ) ( \frac { 4- \sqrt { 6} } { 3} )?

1 Answer
Sep 15, 2017

(4sqrt(3)-3sqrt(2))/6.

Explanation:

First, we expand the expression:
(sqrt(3)*(4-sqrt(6)))/(2*3) = (4sqrt(3)-sqrt(18))/6
Simplifying the radicals... (sqrt(18)=3sqrt(2))
(4sqrt(3)-3sqrt(2))/6
Unfortunately, we can't simplify this further, so this is the answer.