SOLUTION: HELP!!!! Simplify √3(10√2-8√3)

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Question 172889: HELP!!!!
Simplify √3(10√2-8√3)
Found 2 solutions by jim_thompson5910, colliefan:
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283%29%2A%2810%2Asqrt%282%29-8%2Asqrt%283%29%29 Start with the given expression


sqrt%283%29%2A10%2Asqrt%282%29-sqrt%283%29%2A8%2Asqrt%283%29 Distribute


10%2Asqrt%283%29%2Asqrt%282%29-8%2Asqrt%283%29%2Asqrt%283%29 Rearrange the terms.


10%2Asqrt%283%2A2%29-8%2Asqrt%283%2A3%29 Combine the roots.


10%2Asqrt%286%29-8%2Asqrt%289%29 Multiply


10%2Asqrt%286%29-8%2A3 Take the square root of 9 to get 3


10%2Asqrt%286%29-24 Multiply


-24%2B10%2Asqrt%286%29 Rearrange the terms.


So sqrt%283%29%2A%2810%2Asqrt%282%29-8%2Asqrt%283%29%29=-24%2B10%2Asqrt%286%29

Answer by colliefan(55) About Me  (Show Source):
You can put this solution on YOUR website!
√3(10√2-8√3)
sqrt%283%29%2A10sqrt%282%29-sqrt%283%29%2A8sqrt%283%29
10%2Asqrt%283%2A2%29-8sqrt%283%2A3%29
10sqrt%286%29-8sqrt%289%29
10sqrt%286%29-8%2A3
10sqrt%286%29-24