SOLUTION: Perform the indicated operations: 3√[3] + 2√[27] –√[12] Thanks!

Algebra ->  Radicals -> SOLUTION: Perform the indicated operations: 3√[3] + 2√[27] –√[12] Thanks!      Log On


   

Question 107291: Perform the indicated operations:
3√[3] + 2√[27] –√[12]

Thanks!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First let's do some substitution
2%2Asqrt%2827%29=2sqrt%289%2A3%29=6%2Asqrt%283%29
sqrt%2812%29=sqrt%284%2A3%29=2%2Asqrt%283%29
Now let's get to the equation,

3%2Asqrt%283%29%2B2%2Asqrt%2827%29-sqrt%2812%29=%283%2B6-2%29%2A3sqrt%283%29
3%2Asqrt%283%29%2B2%2Asqrt%2827%29-sqrt%2812%29=7%2Asqrt%283%29