document.write( "Question 851483: sqrt(6)/4-sqrt6
\n" ); document.write( "(Square root 6 over 4 minus square root 6)\r
\n" ); document.write( "\n" ); document.write( "The only knowledge I have of how you would possibly solve this is by multiplying the problem by the conjugate of the denominator. Meaning it would be something like: sqrt(6)/4 - sqrt(6) * 4 + sqrt(6)/4 + sqrt(6). The only thing I know about the final answer is the denominator would be 5. I'm not too sure where to go from there. Help would be HIGHLY appreciated. Thanks in advance.
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Algebra.Com's Answer #512778 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
sqrt(6)/(4-sqrt6)
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\n" ); document.write( "Multiply numerator and denominator by 4+sqrt(6) to get:
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\n" ); document.write( "[sqrt(6)(4+sqrt(6))]/[(4-sqrt(6))(4+sqrt(6)]
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\n" ); document.write( "= (6+4sqrt(6))/(16-6)
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\n" ); document.write( "= [2(3+2sqrt(6)]/10
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\n" ); document.write( "= (3+2sqrt(6))/5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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