SOLUTION: please show me how to do this. Perform the indicated operations: √[50] + 2√[32] – √[8]

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: please show me how to do this. Perform the indicated operations: √[50] + 2√[32] – √[8]       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 112203: please show me how to do this.
Perform the indicated operations:
√[50] + 2√[32] – √[8]

Answer by jim_thompson5910(21685) 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 5%2Asqrt%282%29. If you need help with simplifying square roots, check out this solver



5%2Asqrt%282%29%2B2%2A%284%2Asqrt%282%29%29-sqrt%288%29 Simplify sqrt%2832%29 to 4%2Asqrt%282%29.


5%2Asqrt%282%29%2B8%2Asqrt%282%29-sqrt%288%29 Multiply


5%2Asqrt%282%29%2B8%2Asqrt%282%29-2%2Asqrt%282%29 Simplify sqrt%288%29 to 2%2Asqrt%282%29.




%285%2B8-2%29%2Asqrt%282%29 Since we have a common term of sqrt%282%29, we can combine like terms



11%2Asqrt%282%29 Simplify



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