SOLUTION: I need to perform the indicated operations: 3 sqrt [3] + 2 sqrt [27] - sqrt [12] Thanks for anyone that can help.

Question 152340This question is from textbook Intermediate Algebra
: I need to perform the indicated operations:
3 sqrt [3] + 2 sqrt [27] - sqrt [12]
Thanks for anyone that can help. This question is from textbook Intermediate Algebra

Found 2 solutions by jim_thompson5910, nabla:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given expression

Simplify to get . Note: If you need help with simplifying square roots, check out this solver.

Simplify to get .

Multiply 2 and 3 to get 6.

Since we have the common term , we can combine like terms

Combine like terms. Remember,

Now simplify to get

So simplifies to .

In other words,
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!
All we want to do here is take out perfect squares and combine. See as follows:
3sqrt(3)+2sqrt(9*3)-sqrt(4*3)=3sqrt(3)+6sqrt(3)-2sqrt(3)=7sqrt(3)
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