SOLUTION: hey i am just getting mad at this question and i need to know how to simplify equations like this one!! simplify: 3sqrt726+4sqrt252-8sqrt63

Break those numbers down into prime factors using factor trees:



     726               252                 63
     / \               / \                 /\
    2  263            2  126              9  7 
       / \               / \             / \   
      3  121            2  63           3   3
         / \               /\ 
        11 11             7  9 
                            / \
                           3   3

726 = 2·3·11²,     252 = 2²·3²·7       63 = 3²·7



Take all the numbers with squares out from under the radical and place
the numbers without the squares out in front of the radicals:

 comes out of the first radical as a 11 muiltiplied in front.
Both  and  come out from under the radical in the second
radical, as a 2 multiplied by a 3 in front of the second radical:





The 2nd and 3rd terms cancel and you're only left with the fitst term:



Edwin

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