SOLUTION: Perform indicated operations: √[50] + 2√[32] - √[8]

Algebra ->  Square-cubic-other-roots -> SOLUTION: Perform indicated operations: √[50] + 2√[32] - √[8]      Log On


   

Question 195119: Perform indicated operations: √[50] + 2√[32] - √[8]
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.


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 Factor out the GCF sqrt%282%29


11%2Asqrt%282%29 Combine like terms.


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