How do you expand and simplify sqrt3(6-sqrt12)?

1 Answer
Apr 27, 2017

6sqrt(3)+-6

Explanation:

distribute the sqrt(3)

sqrt(3)(6) - sqrt(12)sqrt(3)
6sqrt(3) - sqrt(12*3)
6sqrt(3) - sqrt(36)
6sqrt(3) +- 6

Lessons here:

  • sqrt(a)sqrt(b) = sqrt(a*b), (so long as a and b are not negative)
  • Other than that, this is simple distributive property.
  • Remember the +-