SOLUTION: Perform the indicated operations and show steps: [50]+2[32]-[8] Hint: Where there is a [] it is also a square root signal as well! Sorry cannot demonstrate it! thanks

Algebra ->  Radicals -> SOLUTION: Perform the indicated operations and show steps: [50]+2[32]-[8] Hint: Where there is a [] it is also a square root signal as well! Sorry cannot demonstrate it! thanks      Log On


   

Question 183024: Perform the indicated operations and show steps:
[50]+2[32]-[8]
Hint: Where there is a [] it is also a square root signal as well! Sorry cannot demonstrate it!
thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2850%29%2B2%2Asqrt%2832%29-sqrt%288%29 Start with the given expression


5%2Asqrt%282%29%2B2%2Asqrt%2832%29-sqrt%288%29 Simplify sqrt%2850%29 to get 5%2Asqrt%282%29. Note: If you need help with simplifying square roots, check out this solver.


5%2Asqrt%282%29%2B2%2A4%2Asqrt%282%29-sqrt%288%29 Simplify sqrt%2832%29 to get 4%2Asqrt%282%29.


5%2Asqrt%282%29%2B2%2A4%2Asqrt%282%29-2%2Asqrt%282%29 Simplify sqrt%288%29 to get 2%2Asqrt%282%29.


5%2Asqrt%282%29%2B8%2Asqrt%282%29-2%2Asqrt%282%29 Multiply 2 and 4 to get 8.

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


%285%2B8-2%29sqrt%282%29 Combine like terms. Remember, something like 5x%2B3x-4x=%285%2B3-4%29x=4x



11%2Asqrt%282%29 Now simplify 5%2B8-2 to get 11



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Answer:

So sqrt%2850%29%2B2%2Asqrt%2832%29-sqrt%288%29 simplifies to 11%2Asqrt%282%29.


In other words, sqrt%2850%29%2B2%2Asqrt%2832%29-sqrt%288%29=11%2Asqrt%282%29