1. c/3
2. 9
3. -15√3
4. 5+2√6
hey 1234 use the site symbolab it well show you the steps for each question.
1. Simplify the radical
Sqr of 3c² over the sqr of 27
√ ̅3c²
---------
√ ̅27
2. Simplify the radical
√27 ∙ √3
3. Simplify the radical
√ ̅75 - 4√ ̅75
4. Simplify the radical
(√3 + √2)²
6 answers
1. sqrt(3c^2)/sqrt(27) = c*sqrt(3)/sqrt(9*3) = c* sqrt(3)/3*sqrt(3) = c/3.
2. sqrt(27)*sqrt(3) = sqrt(9*3)*sqrt(3) = 3*sqrt(3) * sqrt(3) = 3 * 3 = 9.
3. sqrt(75) - 4*sqrt(75) = -3*sqrt(75) = -3*sqrt(25*3) = -3*5*sqrt(3) = -15 * sqrt(3).
The student should do #4.
2. sqrt(27)*sqrt(3) = sqrt(9*3)*sqrt(3) = 3*sqrt(3) * sqrt(3) = 3 * 3 = 9.
3. sqrt(75) - 4*sqrt(75) = -3*sqrt(75) = -3*sqrt(25*3) = -3*5*sqrt(3) = -15 * sqrt(3).
The student should do #4.
Thanks Henry makes sense now
4. (sqrt3+sqrt2)^2 - 3 + 2*sqrt(3*2) + 2 = 5 + 2*sqrt(6).
You are welcome.
I wrote those out and spent a few minutes looking at each