SOLUTION: Can you please explain how this problem is solved in detailed steps? My directions say to perform the indicated operations: √[50] + 2√[32] – √[8] I am confus

Algebra ->  Algebra  -> Radicals -> SOLUTION: Can you please explain how this problem is solved in detailed steps? My directions say to perform the indicated operations: √[50] + 2√[32] – √[8] I am confus      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 117925: Can you please explain how this problem is solved in detailed steps?
My directions say to perform the indicated operations:
√[50] + 2√[32] – √[8]
I am confused, because I thought the square root of an answer was two numbers that multiply together to get that number?
I am completely lost with this, detailed step by step directions would be greatly appreciated.
Thank you
Patti

Answer by jim_thompson5910(21667) 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


sqrt%2850%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 the square root, 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, 5x%2B3x-4x=%285%2B3-4%29x=4x


11%2Asqrt%282%29


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