SOLUTION: Can you please help me solve this problem? (3 times the square root of 5x)-(the square root of 45x)-(4 times the square root of 20x)

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Question 190597: Can you please help me solve this problem? (3 times the square root of 5x)-(the square root of 45x)-(4 times the square root of 20x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Asqrt%285x%29-sqrt%2845x%29-4%2Asqrt%2820x%29 Start with the given expression.


3%2Asqrt%285x%29-sqrt%289%2A5x%29-4%2Asqrt%284%2A5x%29 Factor 45 into 9*5 and 20 into 4*5


3%2Asqrt%285x%29-sqrt%289%29%2Asqrt%285x%29-4%2Asqrt%284%29%2Asqrt%285x%29 Break up the square roots.


3%2Asqrt%285x%29-3%2Asqrt%285x%29-4%2A2%2Asqrt%285x%29 Take the square root of 9 to get 3. Take the square root of 4 to get 2


3%2Asqrt%285x%29-3%2Asqrt%285x%29-8%2Asqrt%285x%29 Multiply


%283-3-8%29%2Asqrt%285x%29 Factor out the GCF sqrt%285x%29


-8%2Asqrt%285x%29 Combine like terms.



So 3%2Asqrt%285x%29-sqrt%2845x%29-4%2Asqrt%2820x%29=-8%2Asqrt%285x%29 where x%3E=0