SOLUTION: Now, this last problem is really tricky for me. Perform the indicated operations: 3√[3] + 2√[27] –√[12]

Algebra ->  Expressions-with-variables -> SOLUTION: Now, this last problem is really tricky for me. Perform the indicated operations: 3√[3] + 2√[27] –√[12]       Log On


   

Question 146999: Now, this last problem is really tricky for me.
Perform the indicated operations:
3√[3] + 2√[27] –√[12]
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Asqrt%283%29%2B2%2Asqrt%2827%29-sqrt%2812%29 Start with the given expression



3%2Asqrt%283%29%2B2%2A3%2Asqrt%283%29-sqrt%2812%29 Simplify sqrt%2827%29 to get 3%2Asqrt%283%29. Note: If you need help with simplifying square roots, check out this solver.


3%2Asqrt%283%29%2B2%2A3%2Asqrt%283%29-2%2Asqrt%283%29 Simplify sqrt%2812%29 to get 2%2Asqrt%283%29.


3%2Asqrt%283%29%2B6%2Asqrt%283%29-2%2Asqrt%283%29 Multiply 2 and 3 to get 6.

Since we have the common term sqrt%283%29, we can combine like terms

%283%2B6-2%29sqrt%283%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


7%2Asqrt%283%29 Now simplify 3%2B6-2 to get 7

So 3%2Asqrt%283%29%2B2%2Asqrt%2827%29-sqrt%2812%29 simplifies to 7%2Asqrt%283%29. In other words, 3%2Asqrt%283%29%2B2%2Asqrt%2827%29-sqrt%2812%29=7%2Asqrt%283%29