SOLUTION: how do you solve 2 square root of 50 plus 12 square root of 8

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Question 879612: how do you solve 2 square root of 50 plus 12 square root of 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2850%29+=+sqrt%2825%2A2%29


sqrt%2850%29+=+sqrt%2825%29%2Asqrt%282%29


sqrt%2850%29+=+5%2Asqrt%282%29


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sqrt%288%29+=+sqrt%284%2A2%29


sqrt%288%29+=+sqrt%284%29%2Asqrt%282%29


sqrt%288%29+=+2%2Asqrt%282%29


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From the work above, we will use the idea that


sqrt%2850%29+=+5%2Asqrt%282%29


sqrt%288%29+=+2%2Asqrt%282%29


to simplify


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2%2Asqrt%2850%29+%2B+12%2Asqrt%288%29


2%2A5%2Asqrt%282%29+%2B+12%2Asqrt%288%29


2%2A5%2Asqrt%282%29+%2B+12%2A2%2Asqrt%282%29


10%2Asqrt%282%29+%2B+24%2Asqrt%282%29


%2810+%2B+24%29%2Asqrt%282%29


34%2Asqrt%282%29


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So 2%2Asqrt%2850%29+%2B+12%2Asqrt%288%29 simplifies to 34%2Asqrt%282%29