1 sqrt 3/2 divided by 1/2 = sqrt 3
#2 1 divided by sqrt 3/2 = 2/sqrt 3 = 2 sqrt 3/3
#2 1 divided by sqrt 3/2 = 2/sqrt 3 = 2 sqrt 3/3
-
Parantheses would probably help here.
((sqrt3)/2) / (1/2) = ((sqrt3)/2) *2 = sqrt3
And I assume what you meant on the second one is:
1/((sqrt3)/2) = 1 * 2/(sqrt3) = 2/(sqrt3)
Using the exponents laws, 1/(sqrt3) = (sqrt3)^-1 = (3)^(-1/2)
You can rewrite that as (3)^((1/2)-1) if you like, which is ((3)^(1/2))/(3) = (sqrt3)/3
((sqrt3)/2) / (1/2) = ((sqrt3)/2) *2 = sqrt3
And I assume what you meant on the second one is:
1/((sqrt3)/2) = 1 * 2/(sqrt3) = 2/(sqrt3)
Using the exponents laws, 1/(sqrt3) = (sqrt3)^-1 = (3)^(-1/2)
You can rewrite that as (3)^((1/2)-1) if you like, which is ((3)^(1/2))/(3) = (sqrt3)/3