SOLUTION: 4. Perform the indicated operations: √[50] + 2√[32] – √[8]

Algebra ->  Rational-functions -> SOLUTION: 4. Perform the indicated operations: √[50] + 2√[32] – √[8]       Log On


   

Question 118220: 4. Perform the 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. 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, 5x%2B3x-4x=%285%2B3-4%29x=4x


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

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