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

Algebra.Com
Question 886736: 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

Found 3 solutions by edjones, Edwin McCravy, MathTherapy:
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
3sqrt726+4sqrt252-8sqrt63
33sqrt(6)+24sqrt(7)-24sqrt(7)
=33sqrt(6)
.
Ed

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
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


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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



_______
RELATED QUESTIONS

hey just a quick question and i need some help i don't know how to solve this... (answered by Earlsdon)
Hi, please help me simplify this fraction. 8x/3 - 3x+2/6. I just need to... (answered by ankor@dixie-net.com)
This problems's just like the last one. How do I simplify it? z to the -11th/z to the... (answered by Prithwis)
I need to use the slope-intercept method to graph this equation, and I would like to know (answered by HyperBrain)
Hello, I just wanted to know how I could simplify this question : 81^log base9 8x. Do we... (answered by josgarithmetic)
I need help solving this problem, I just can't seem to get it straight in my head. I am... (answered by checkley77)
Hey hows it going? Have been trying to work this one out all night, its late I'm tired,... (answered by checkley71)
State the restrictions and then simplify: 12x^2-37x+21 _____________ <-fraction... (answered by Boreal)
54/28 .... I just need help remembering the steps of how to simplify this fraction! (answered by josgarithmetic,MathTherapy)