SOLUTION: Simplify. {{{sqrt(3)(6sqrt(7)-2sqrt(3))}}} This problem seemed very difficult and need to verify that my answer of {{{6sqrt(21)+ 7sqrt(2x)}}} is correct. Thanks so much for your

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Simplify. {{{sqrt(3)(6sqrt(7)-2sqrt(3))}}} This problem seemed very difficult and need to verify that my answer of {{{6sqrt(21)+ 7sqrt(2x)}}} is correct. Thanks so much for your      Log On


   

Question 76793: Simplify. sqrt%283%29%286sqrt%287%29-2sqrt%283%29%29
This problem seemed very difficult and need to verify that my answer of 6sqrt%2821%29%2B+7sqrt%282x%29 is correct. Thanks so much for your time.
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

sqrt%283%29%286sqrt%287%29-2sqrt%283%29%29

We fisrt simplify the brackets, that is

+%28sqrt%283%29+%2A+sqrt%287%29+%2A+6%29+-+%282+%2A+sqrt%283%29+%2A+sqrt%283%29%29+

This implies,

+sqrt%2821%29+%2A+6+-+2+%2A+%283%29+

+6+%2A+sqrt%2821%29+-+6+

Taking out 6 as the common factor, we get:

6 %28sqrt%2821%29+-+1%29

Hence, the solution.