SOLUTION: Can you please help me solve this problem? (2 times the square root of 18)+(3 times the square root of 32)

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Question 190601: Can you please help me solve this problem? (2 times the square root of 18)+(3 times the square root of 32)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Asqrt%2818%29%2B3%2Asqrt%2832%29 Start with the given expression


2%2A3%2Asqrt%282%29%2B3%2Asqrt%2832%29 Simplify sqrt%2818%29 to get 3%2Asqrt%282%29. Note: If you need help with simplifying square roots, check out this solver.


2%2A3%2Asqrt%282%29%2B3%2A4%2Asqrt%282%29 Simplify sqrt%2832%29 to get 4%2Asqrt%282%29.


6%2Asqrt%282%29%2B3%2A4%2Asqrt%282%29 Multiply 2 and 3 to get 6.

6%2Asqrt%282%29%2B12%2Asqrt%282%29 Multiply 3 and 4 to get 12.

Since we have the common term sqrt%282%29, we can combine like terms


%286%2B12%29sqrt%282%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


18%2Asqrt%282%29 Now simplify 6%2B12 to get 18


So 2%2Asqrt%2818%29%2B3%2Asqrt%2832%29 simplifies to 18%2Asqrt%282%29.


In other words, 2%2Asqrt%2818%29%2B3%2Asqrt%2832%29=18%2Asqrt%282%29