SOLUTION: how would you go about solving this problem? 7 sqrt12 + 10 sqrt48

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Question 166014: how would you go about solving this problem?
7 sqrt12 + 10 sqrt48

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
how would you go about solving this problem?
7 sqrt12 + 10 sqrt48
;
Not exactly solving, You can simplify it, by factoring etc.
:
7*sqrt%2812%29 + 10*sqrt%2848%29
:
factor inside the radicals to reveal the perfect squares\
7*sqrt%284%2A3%29 + 10*sqrt%2816%2A3%29
:
Extract those perfect squares
7*2*sqrt%283%29 + 10*4sqrt%283%29
which is
14*sqrt%283%29 + 40*sqrt%283%29
:
Now we have like terms so just add em up
54*sqrt%283%29