SOLUTION: (radical)45 + (radical) 80

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Question 184960This question is from textbook Algebra 1
: (radical)45 + (radical) 80 This question is from textbook Algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2845%29%2Bsqrt%2880%29 Start with the given expression


sqrt%289%2A5%29%2Bsqrt%2816%2A5%29 Factor 45 into 9*5 and factor 80 into 16*5. Note: each factorization has a perfect square factor.


sqrt%289%29%2Asqrt%285%29%2Bsqrt%2816%29%2Asqrt%285%29 Break up the square root.


3%2Asqrt%285%29%2B4%2Asqrt%285%29 Take the square root of 9 to get 3. Take the square root of 16 to get 4


%283%2B4%29%2Asqrt%285%29 Factor out the GCF sqrt%285%29


7%2Asqrt%285%29 Combine like terms


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Answer:

So sqrt%2845%29%2Bsqrt%2880%29=7%2Asqrt%285%29