SOLUTION: Simplify combining like terms square root 63- 2(square root 28) + 5 (square root 7) Thanks

Algebra ->  Radicals -> SOLUTION: Simplify combining like terms square root 63- 2(square root 28) + 5 (square root 7) Thanks      Log On


   

Question 86828: Simplify combining like terms
square root 63- 2(square root 28) + 5 (square root 7)
Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
square root 63- 2(square root 28) + 5 (square root 7)
:
sqrt%2863%29+-+2sqrt%2828%29+%2B+5sqrt%287%29
:
Find the perfect squares inside the radicals:
sqrt%289%2A7%29+-+2sqrt%284%2A7%29+%2B+5sqrt%287%29
:
Extract roots of the squares:
3sqrt%287%29+-+2%2A2sqrt%287%29+%2B+5sqrt%287%29
:
3sqrt%287%29+-+4sqrt%287%29+%2B+5sqrt%287%29
:
Like terms, just do the math:
%2B4sqrt%287%29