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 ->  Square-cubic-other-roots -> 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 182354: 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 jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1

sqrt%285%29%2A%282%2Asqrt%2845%29-sqrt%285%29%29 Start with the given expression


sqrt%285%29%2A%282%2A3%2Asqrt%285%29-sqrt%285%29%29 Simplify sqrt%2845%29 to get sqrt%2845%29=sqrt%289%2A5%29=sqrt%289%29%2Asqrt%285%29=3%2Asqrt%285%29


sqrt%285%29%2A%286%2Asqrt%285%29-sqrt%285%29%29 Multiply


sqrt%285%29%2A%285%2Asqrt%285%29%29 Combine like terms. Note: 6%2Asqrt%285%29-sqrt%285%29=%286-1%29%2Asqrt%285%29=5%2Asqrt%285%29


5%2Asqrt%285%29%2Asqrt%285%29 Rearrange the terms.


5%2Asqrt%285%2A5%29 Combine the roots.


5%2Asqrt%2825%29 Multiply


5%2A5 Take the square root of 25 to get 5


25 Multiply


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Answer:

So sqrt%285%29%2A%282%2Asqrt%2845%29-sqrt%285%29%29=25