SOLUTION: Where does the 4 come from in sqrt(3)+sqrt(3)/3 =4/3sqrt(3)

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Question 1059404: Where does the 4 come from in
sqrt(3)+sqrt(3)/3
=4/3sqrt(3)
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's substitute x for sqrt%283%29,
x%2Bx%2F3=%283%2F3%29x%2B%281%2F3%29x=%28%281%2B3%29%2F3%29x=%284%2F3%29x

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%283%29%2Bsqrt%283%29%2F3%22%22=%22%22

Put a 1 under the first term:

sqrt%283%29%2F1%2Bsqrt%283%29%2F3%22%22=%22%22

The least common denominator of 1 and 3 is 3,
so we multiply the first fraction by 3%2F3:

%28sqrt%283%29%2F1%29%2A%283%2F3%29%2Bsqrt%283%29%2F3%22%22=%22%22

3sqrt%283%29%2F3%2Bsqrt%283%29%2F3%22%22=%22%22

%283sqrt%283%29%2Bsqrt%283%29%29%2F3%22%22=%22%22

%283sqrt%283%29%2B1sqrt%283%29%29%2F3%22%22=%22%22

Factor out sqrt%283%29 on top:

%28sqrt%283%29%283%2B1%29%29%2F3%22%22=%22%22

%28sqrt%283%29%284%29%29%2F3%22%22=%22%22

%284sqrt%283%29%29%2F3%22%22=%22%22

expr%284%2F3%29sqrt%283%29

Edwin