document.write( "Question 135421: Tutor: How do I rationalize the denominator for 6 divided by 2 plus the square root of 3? \n" ); document.write( "

Algebra.Com's Answer #99219 by Earlsdon(6294) $\"\"$ $\"About$

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Rationalise the denominator:
\n" ); document.write( " $\"6%2F%282%2Bsqrt%283%29%29\"$
\n" ); document.write( "To rationalise the denominator, you multiply it by its conjugate, and you must do the same to the numerator.
\n" ); document.write( "The conjugate of $\"2%2Bsqrt%283%29\"$ is $\"2-sqrt%283%29\"$ , so...
\n" ); document.write( " $\"%286%2F%282%2Bsqrt%283%29%29%29%2A+%28%282-sqrt%283%29%29%2F%282-sqrt%283%29%29%29\"$ Simplify.
\n" ); document.write( " $\"6%282-sqrt%283%29%29%2F%284-3%29\"$ = $\"6%282-sqrt%283%29%29+=+12-6sqrt%283%29\"$ \n" ); document.write( "

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