document.write( "Question 556263: How do I rationalise denominators?? :(\r
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document.write( "I mean things like (√2 + 2√5)/(√5 - √2)\r
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document.write( "Thanks! \n" );
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Algebra.Com's Answer #362114 by scott8148(6628) You can put this solution on YOUR website! in general, you multiply the numerator and denominator by the radical from the denominator \n" ); document.write( "___ this \"deradicalizes\" (is that a word?) the denominator and maintains the value of the fraction\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the example you give, multiplying by the conjugate is the best technique\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiplying by (√5 + √2)/(√5 + √2) ___ [(√2 + 2√5) (√5 + √2)] / [(√5 - √2) (√5 + √2)]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FOILing ___ (√10 + 2 + 10 + 2√10) / (5 + √10 - √10 - 2) ___ (12 + 3√10) / 3 ___ 4 + √10 \n" ); document.write( " |