SOLUTION: Simplify the radicals.... radical sign 40 + radical sign 10 + radical sign 2/5

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Question 6207: Simplify the radicals....
radical sign 40 + radical sign 10 + radical sign 2/5
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2840%29%2Bsqrt%2810%29%2Bsqrt%282%29%2F5
First get rid of the denominator by multiplying everything by 5:
5%2Asqrt%2840%29%2B5%2Asqrt%2810%29%2Bsqrt%282%29
The key to simplifying radicals is to factor what is inside the radical
5%2Asqrt%282%2A2%2A2%2A5%29%2B5%2Asqrt%282%2A5%29%2Bsqrt%282%29
then pull out groups of numbers according to the index on the radical - if there is no index, it is by twos. In this case, we can only pull out a set of two "2"'s from the first radical sign. When you pull out the group represent it in front of the radical by one of it's members
example:
sqrt%283%2A3%2A3%29=3%2Asqrt%283%29
so your problem becomes:
5%2A2%2Asqrt%282%2A5%29%2B5%2Asqrt%282%2A5%29%2Bsqrt%282%29
then add anything that has the same radical:
10%2Asqrt%2810%29%2B5%2Asqrt%2810%29%2Bsqrt%282%29
15%2Asqrt%2810%29%2Bsqrt%282%29