How do you simplify -3sqrt3(2+sqrt6)?
2 Answers
May 22, 2017
Explanation:
First, distribute the
-3sqrt3*2-3sqrt3*sqrt6
Now simplify.
-6sqrt3-3sqrt18
18 is
-6sqrt3-3sqrt(2times3times3)
You have two factors of 3 inside the radical, so you can pull them out and make one factor of 3 outside the radical.
-6sqrt3-3sqrt(2timescolor(limegreen)3timescolor(limegreen)3
-6sqrt3-3*color(limegreen)3sqrt2
Finally, simplify again.
-6sqrt3-9sqrt2
Final Answer
May 22, 2017
-6sqrt3-9sqrt2
Explanation:
Given -
-3sqrt3(2+sqrt6)
-6sqrt3-3sqrt3sqrt6
-6sqrt3-3sqrt(3)sqrt3sqrt2
-6sqrt3-3.3sqrt2
-6sqrt3-9sqrt2