SOLUTION: Could you show me how to expand and simplify this expressions to get {{{6 sqrt 5 - 3 sqrt 10}}} The problem is {{{3 sqrt 5(2 - sqrt 2)}}}

Algebra ->  Radicals -> SOLUTION: Could you show me how to expand and simplify this expressions to get {{{6 sqrt 5 - 3 sqrt 10}}} The problem is {{{3 sqrt 5(2 - sqrt 2)}}}      Log On


   

Question 125518: Could you show me how to expand and simplify this expressions to get

6+sqrt+5+-+3+sqrt+10
The problem is 3+sqrt+5%282+-+sqrt+2%29
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
BREAKING DOWN THE TERMS TO BE MULTIPLIED WE GET:
2(3SQRT5)=2*3(SQRT5)=6SQRT5
-SQRT2(3SQRT5)=-1*3(SQRT2)(SQRT5)=-3(SQRT10)
NOW COMBINE THE 2 TERMS.
6SQRT5-3SQRT10
-------------------------------------
3sqrt5
2-sqrt2
-------------------------
6sqrt5-3sqrt10 answer.