SOLUTION: how do you solve this problem 2 sq. root 2 + 8 s. root 2- sq. root 2

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Question 173294: how do you solve this problem
2 sq. root 2 + 8 s. root 2- sq. root 2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let z=sqrt%282%29


So the expression 2%2Asqrt%282%29+%2B+8%2Asqrt%282%29-+sqrt%282%29 becomes 2z+%2B+8z-+z


Now combine like terms to get 9z.


Now replace "z" with sqrt%282%29 to get 9%2Asqrt%282%29


So 2%2Asqrt%282%29+%2B+8%2Asqrt%282%29-+sqrt%282%29=9%2Asqrt%282%29