SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive. http://i732.photobucket.com/albums/ww330/school_hard/IMG_48351.jpg http://i732

Algebra ->  Rational-functions -> SOLUTION: Simplify each expression. Rationalize all denominators. Assume that all variables are positive. http://i732.photobucket.com/albums/ww330/school_hard/IMG_48351.jpg http://i732      Log On


   

Question 181493: Simplify each expression. Rationalize all denominators. Assume that all variables are positive.
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48351.jpg
http://i732.photobucket.com/albums/ww330/school_hard/IMG_48361.jpg
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%285%29%282sqrt%2845%29-sqrt%285%29%29
:
2sqrt%285%2A45%29-5distributed the terms and sqrt%285%29multiplied by itself is 5
:
2sqrt%28225%29-5%29
:
2%2815%29-5=25
:
7%2F%281-sqrt%283%29%29....multiply top and bottom by 1%2Bsqrt%283%29.
:
7%281%2Bsqrt%283%29%29%2F%281-3%29 because 1-sqrt%283%29multiplied by 1%2Bsqrt%283%29=
1-3...middle terms cancel each other
:
-%287%2B7sqrt%283%29%29%2F2