SOLUTION: Can you please help me solve this problem? (-3 times the square root of 24)+(2 times the square root of 54)-(the square root of 6)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Can you please help me solve this problem? (-3 times the square root of 24)+(2 times the square root of 54)-(the square root of 6)      Log On


   

Question 190596: Can you please help me solve this problem? (-3 times the square root of 24)+(2 times the square root of 54)-(the square root of 6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-3%2Asqrt%2824%29%2B2%2Asqrt%2854%29-sqrt%286%29 Start with the given expression


-3%2A2%2Asqrt%286%29%2B2%2Asqrt%2854%29-sqrt%286%29 Simplify sqrt%2824%29 to get 2%2Asqrt%286%29. Note: If you need help with simplifying square roots, check out this solver.


-3%2A2%2Asqrt%286%29%2B2%2A3%2Asqrt%286%29-sqrt%286%29 Simplify sqrt%2854%29 to get 3%2Asqrt%286%29.


-6%2Asqrt%286%29%2B2%2A3%2Asqrt%286%29-sqrt%286%29 Multiply 3 and 2 to get 6.


-6%2Asqrt%286%29%2B6%2Asqrt%286%29-sqrt%286%29 Multiply 2 and 3 to get 6.

Since we have the common term sqrt%286%29, we can combine like terms

%28-6%2B6-1%29sqrt%286%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


-sqrt%286%29 Now simplify -6%2B6-1 to get -1


So -3%2Asqrt%2824%29%2B2%2Asqrt%2854%29-sqrt%286%29 simplifies to -sqrt%286%29.


In other words, -3%2Asqrt%2824%29%2B2%2Asqrt%2854%29-sqrt%286%29=-sqrt%286%29