SOLUTION: I need help solving an expression with radicals. The expression is 3 times the square root of 44 plus 11 times the square root of 22 divided by square root of 33 minus the square

Algebra ->  Radicals -> SOLUTION: I need help solving an expression with radicals. The expression is 3 times the square root of 44 plus 11 times the square root of 22 divided by square root of 33 minus the square       Log On


   

Question 771119: I need help solving an expression with radicals.
The expression is 3 times the square root of 44 plus 11 times the square root of 22 divided by square root of 33 minus the square root of 22
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
3 times the square root of 44 plus 11 times the square root of 22 divided by square root of 33 minus the square root of 22
%283sqrt%2844%29%2B11sqrt%2822%29%29%2F%28sqrt%2833%29-sqrt%2822%29%29

The first term on top 3sqrt%2844%29=3sqrt%284%2A11%29=3sqrt%284%29sqrt%2811%29=3%2A2sqrt%2811%29=6sqrt%2811%29 

%286sqrt%2811%29%2B11sqrt%2822%29%29%2F%28sqrt%2833%29-sqrt%2822%29%29

Multiply by the conjugate of the denominator over itself:

%28%286sqrt%2811%29%2B11sqrt%2822%29%29%2F%28sqrt%2833%29-sqrt%2822%29%29%29%22%22%2A%22%22%28%28sqrt%2833%29%2Bsqrt%2822%29%29%2F%28sqrt%2833%29%2Bsqrt%2822%29%29%29



%286sqrt%2811%2A33%29%2B6sqrt%2811%2A22%29%2B11sqrt%2822%2A33%29%2B11%2A22%29%2F%2833-22%29



%286sqrt%2811%5E2%2A3%29%2B6sqrt%2811%5E2%2A2%29%2B11sqrt%2811%5E2%2A6%29%2B11%2A22%29%2F11

%286%2A11sqrt%283%29%2B6%2A11sqrt%282%29%2B11%2A11sqrt%286%29%2B11%2A22%29%2F11

%2811%286sqrt%283%29%2B6sqrt%282%29%2B11sqrt%286%29%2B22%29%29%2F11

%28cross%2811%29%286sqrt%283%29%2B6sqrt%282%29%2B11sqrt%286%29%2B22%29%29%2Fcross%2811%29

6√3 + 6√2 + 11√6 + 22

Edwin