SOLUTION: Please walk be thru each step: Rationalize the denominator: The square root of 4a divided by square root of 3b. They say the answer is 2 times the square root of 3ab divided by

Algebra ->  Radicals -> SOLUTION: Please walk be thru each step: Rationalize the denominator: The square root of 4a divided by square root of 3b. They say the answer is 2 times the square root of 3ab divided by      Log On


   

Question 200932: Please walk be thru each step: Rationalize the denominator:
The square root of 4a divided by square root of 3b. They say the answer is 2 times the square root of 3ab divided by 3b. I do not understand the top part. Isn't it square root of 12ab divided by 3b???
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The square root of 4a divided by square root of 3b.
:
sqrt%284a%29%2Fsqrt%283b%29
:
Multiply by sqrt%283b%29%2Fsqrt%283b%29 (any number over itself is one)
sqrt%284a%29%2Fsqrt%283b%29 * sqrt%283b%29%2Fsqrt%283b%29
:
Gets rid of the radical in the denominator
sqrt%284a%29%2Asqrt%283b%29%2F%283b%29 = sqrt%2812ab%29%2F%283b%29
Factor inside the radical to reveal perfect square
sqrt%284%2A3%2Aa%2Ab%29%2F%283b%29
Extract the square root of 4, which is 2
2%2Asqrt%283ab%29%2F%283b%29