SOLUTION: Divide and simplify so that there are no radicals in the denominator. SHOW YOUR STEPS. √18+√24/√6 I don't know how to do this kind of problem at all, can

Algebra ->  Radicals -> SOLUTION: Divide and simplify so that there are no radicals in the denominator. SHOW YOUR STEPS. √18+√24/√6 I don't know how to do this kind of problem at all, can       Log On


   

Question 375045: Divide and simplify so that there are no radicals in the denominator. SHOW YOUR STEPS.
√18+√24/√6
I don't know how to do this kind of problem at all, can someone help me, please? Thanks so much! :)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28sqrt%2818%29%2Bsqrt%2824%29%29%2F%28sqrt%286%29%29 Start with the given expression.


%28sqrt%283%2A6%29%2Bsqrt%284%2A6%29%29%2F%28sqrt%286%29%29 Factor 18 into 3*6 and factor 24 into 4*6 (notice the presence of 6)


%28sqrt%283%29%2Asqrt%286%29%2Bsqrt%284%29%2Asqrt%286%29%29%2F%28sqrt%286%29%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29


%28sqrt%283%29%2Asqrt%286%29%2B2%2Asqrt%286%29%29%2F%28sqrt%286%29%29 Take the square root of 4 to get 2.


%28sqrt%286%29%28sqrt%283%29%2B2%29%29%2F%28sqrt%286%29%29 Factor out the GCF sqrt%286%29


%28highlight%28sqrt%286%29%29%28sqrt%283%29%2B2%29%29%2F%28highlight%28sqrt%286%29%29%29 Highlight the common terms.


Cancel out the common terms.


sqrt%283%29%2B2 Simplify.


So %28sqrt%2818%29%2Bsqrt%2824%29%29%2F%28sqrt%286%29%29=sqrt%283%29%2B2


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim