SOLUTION: i need help solving 1/2 over the square root of 3 /2 i have dificulties solving fraction problems with radicals. can you please help?

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Question 175653: i need help solving 1/2 over the square root of 3 /2
i have dificulties solving fraction problems with radicals. can you please help?
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%2F%28sqrt%283%29%2F2%29 Start with the given expression.


%281%2F2%29%282%2Fsqrt%283%29%29 Multiply the first fraction by the reciprocal of the second fraction. In other words, flip the second fraction and multiply


2%2F%282%2Asqrt%283%29%29 Combine the fractions.


cross%282%29%2F%28cross%282%29%2Asqrt%283%29%29 Cancel out the common terms.


1%2F%28sqrt%283%29%29 Simplify


%281%2F%28sqrt%283%29%29%29%28sqrt%283%29%2Fsqrt%283%29%29 Multiply the fraction by sqrt%283%29%2Fsqrt%283%29


sqrt%283%29%2F%28sqrt%283%29%2Asqrt%283%29%29 Multiply the fractions


sqrt%283%29%2F%283%29 Multiply the radicals



So %281%2F2%29%2F%28sqrt%283%29%2F2%29=sqrt%283%29%2F%283%29

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
the way one writes a problem makes a huge difference in math: the way I read you statement is
:
%281%2F2%29%2Fsqrt%283%2F2%29 lets rewrite sqrt%283%2F2%29 to sqrt%283%29%2Fsqrt%282%29 and invert this and multiply by 1/2
:
%281%2F2%29%28sqrt%282%29%2Fsqrt%283%29%29which equalssqrt%282%29%2F2sqrt%283%29 now lets rationalize the denominator multiplying top and bottom by sqrt%283%29
:
sqrt%282%29sqrt%283%29%2F2+%283%29cross%28sqrt%283%29%29cross%28sqrt%283%29%29 now combine terms
:
highlight%28sqrt%286%29%2F6%29