SOLUTION: Perform the indicated operations: 4√[50] + √[32] – √[18]

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Question 167725: Perform the indicated operations:
4√[50] + √[32] – √[18]

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29 Start with the given expression


4%2A5%2Asqrt%282%29-sqrt%2832%29-sqrt%2818%29 Simplify sqrt%2850%29 to get 5%2Asqrt%282%29. Note: If you need help with simplifying square roots, check out this solver.


4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-sqrt%2818%29 Simplify sqrt%2832%29 to get 4%2Asqrt%282%29.


4%2A5%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29 Simplify sqrt%2818%29 to get 3%2Asqrt%282%29.


20%2Asqrt%282%29-4%2Asqrt%282%29-3%2Asqrt%282%29 Multiply 4 and 5 to get 20.


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


%2820-4-3%29sqrt%282%29 Combine like terms. Remember, 5x%2B3x-4x=%285%2B3-4%29x=4x


13%2Asqrt%282%29 Now simplify 20-4-3 to get 13


So 4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29 simplifies to 13%2Asqrt%282%29.


In other words, 4%2Asqrt%2850%29-sqrt%2832%29-sqrt%2818%29=13%2Asqrt%282%29