SOLUTION: i need to simplify (5+ the square root of -8) + (-13+4 times the square root of -2) (5+sqrt(-8))+(-13+4sqrt(-2))

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: i need to simplify (5+ the square root of -8) + (-13+4 times the square root of -2) (5+sqrt(-8))+(-13+4sqrt(-2))      Log On


   

Question 88516: i need to simplify (5+ the square root of -8) + (-13+4 times the square root of -2)
(5+sqrt(-8))+(-13+4sqrt(-2))
Found 2 solutions by rob9926, jim_thompson5910:
Answer by rob9926(2) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2Bsqrt%28-8%29%29%2B%28-13%2B4sqrt%28-2%29%29

%285%2Bsqrt%28-1%2A4%2A2%29%29%2B%28-13%2B4sqrt%28-1%2A2%29%29 Factor -8 into -1*4*2 and -2 into -1*2

%285%2Bsqrt%28-1%29%2Asqrt%284%29%2Asqrt%282%29%29%2B%28-13%2B4sqrt%28-1%29%2Asqrt%282%29%29 Break up the square roots

%285%2Bsqrt%28-1%29%2A2%2Asqrt%282%29%29%2B%28-13%2B4sqrt%28-1%29%2Asqrt%282%29%29 Take the square root of 4 to get 2

%285%2B2%2Ai%2Asqrt%282%29%29%2B%28-13%2B4%2Ai%2Asqrt%282%29%29 Replace sqrt%28-1%29 with i


%285-13%29%2B%282%2Ai%2Asqrt%282%29%2B4%2Ai%2Asqrt%282%29%29 Group like terms

-8%2B6%2Ai%2Asqrt%282%29 Combine like terms