SOLUTION: I have to simplify this problem please help. Can anybody show me how to do equations like this one? The ones with letters and that are on top of each other are really hard. &#8730

Algebra ->  Radicals -> SOLUTION: I have to simplify this problem please help. Can anybody show me how to do equations like this one? The ones with letters and that are on top of each other are really hard. &#8730      Log On


   

Question 82584: I have to simplify this problem please help. Can anybody show me how to do equations like this one? The ones with letters and that are on top of each other are really hard.
√75a / √5
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2875a%29%2Fsqrt%285%29%29
%28sqrt%283%2A25a%29%2Fsqrt%285%29%29 [factor out a perfect square (25)]
%285sqrt%283a%29%2Fsqrt%285%29%29
%285sqrt%283a%29sqrt%285%29%2Fsqrt%285%29sqrt%285%29%29 [multiply by %28sqrt%285%29%29in order to get rid of the radical in the denominator]
.
%285sqrt%283a%2A5%29%2Fsqrt%285%2A5%29%29
%285sqrt%2815a%29%2Fsqrt%2825%29%29
%285sqrt%2815a%29%2F5%29%29
%28sqrt%2815a%29%29%29 [cancel out wherever possible]
.
or, just cancel out radicals wherever possible:
%28sqrt%2875a%29%2Fsqrt%285%29%29
%28sqrt%285a%29sqrt%285%29sqrt%283%29%2Fsqrt%285%29%29
%28sqrt%285a%29sqrt%283%29%29%29
%28sqrt%2815a%29%29%29