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

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sqrt2 / ( 2sqrt6-sqrt2)
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usually we clear the den of radicals by multiplying thru by complex conjugate
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( sqrt2 * (2 sqrt6 + sqrt2) ) / ( 2sqrt6 -sqrt2) * (2sqrt6 + sqrt2)
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(2 sqrt2 *sqrt6 + sqrt2 * sqrt2 ) / ( 4*6 -2 )
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(2sqrt12 +2)/ 22
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( sqrt 12 +1) / 11,,,,ANSWER
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checking
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evaluate original and answer with calculator, both give .406,,,,ok