SOLUTION: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you. 2sqrt(48)-3sqrt(27)

Algebra ->  Radicals -> SOLUTION: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you. 2sqrt(48)-3sqrt(27)      Log On


   

Question 339868: i have tried to simplify this problem and each time i come up with a different answer. please show me the steps how to do it. thank you.
2sqrt(48)-3sqrt(27)
Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
2sqrt%2848%29-3sqrt%2827%29
=2%2Asqrt%282%2A2%2A2%2A2%2A3%29-3%2Asqrt%283%2A3%2A3%29 break the numbers into primes
=2%2Asqrt%282%5E4%2A3%29-3%2Asqrt%283%5E2%2A3%29
=2%2A2%5E2%2Asqrt%283%29-3%2A3%2Asqrt%283%29
=8%2Asqrt%283%29-9%2Asqrt%283%29
=highlight%28-sqrt%283%29%29