SOLUTION: Help! I don't understand how to answer 4 over the square root 3, and -1 over the square root 12? Please show acurate steps.

Algebra ->  Algebra  -> Radicals -> SOLUTION: Help! I don't understand how to answer 4 over the square root 3, and -1 over the square root 12? Please show acurate steps.       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 34404This question is from textbook Algebra 1 concepts and skills
: Help! I don't understand how to answer 4 over the square root 3, and -1 over the square root 12?
Please show acurate steps.
This question is from textbook Algebra 1 concepts and skills

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
The objective is to create the square-root of a perfect square in the denominator; then simplify the whole fraction.
#1 4/sqrt3
Multiply top and bottom by sqrt3 to get:
[4sqrt3]/[sqrt9]
=4sqrt3/3
or
=(4/3)sqrt3
#2 -1/sqrt12
Multiply top and bottom by sqrt 3 to get:
[-sqrt3]/[sqrt(36)]
=[-sqrt3]/6
or
=(-1/6)sqrt3]
Cheers,
Stan H.