SOLUTION: I am having a very difficult time with this problem √2 divided by 2√6 - √ 2

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Question 194629: I am having a very difficult time with this problem
√2 divided by 2√6 - √ 2
Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
sqrt2 / ( 2sqrt6-sqrt2)
,
usually we clear the den of radicals by multiplying thru by complex conjugate
,
( sqrt2 * (2 sqrt6 + sqrt2) ) / ( 2sqrt6 -sqrt2) * (2sqrt6 + sqrt2)
,
(2 sqrt2 *sqrt6 + sqrt2 * sqrt2 ) / ( 4*6 -2 )
,
(2sqrt12 +2)/ 22
,
( sqrt 12 +1) / 11,,,,ANSWER
,
checking
,
evaluate original and answer with calculator, both give .406,,,,ok
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