SOLUTION: 5*squarerootof48-squarerootof27+3squarerootof54

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Question 264527: 5*squarerootof48-squarerootof27+3squarerootof54
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Some scratch work:

sqrt%2848%29=sqrt%2816%2A3%29=sqrt%2816%29%2Asqrt%283%29=4%2Asqrt%283%29. So sqrt%2848%29=4%2Asqrt%283%29


sqrt%2827%29=sqrt%289%2A3%29=sqrt%289%29%2Asqrt%283%29=3%2Asqrt%283%29. So sqrt%2827%29=3%2Asqrt%283%29


sqrt%2854%29=sqrt%289%2A6%29=sqrt%289%29%2Asqrt%286%29=3%2Asqrt%286%29. So sqrt%2854%29=3%2Asqrt%286%29

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5%2Asqrt%2848%29-sqrt%2827%29%2B3%2Asqrt%2854%29 Start with the given expression.


5%2A4%2Asqrt%283%29-3%2Asqrt%283%29%2B3%2A3%2Asqrt%286%29 Simplify the radicals (see scratch work above).


20%2Asqrt%283%29-3%2Asqrt%283%29%2B9%2Asqrt%286%29 Multiply


17%2Asqrt%283%29%2B9%2Asqrt%286%29 Combine like terms.


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Answer:


So
5%2Asqrt%2848%29-sqrt%2827%29%2B3%2Asqrt%2854%29=17%2Asqrt%283%29%2B9%2Asqrt%286%29