document.write( "Question 77815: Simplify the following expression by rationalizing the denominator. Write the result in simplest form.\r
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document.write( "3 over the cube root of 2 \n" );
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Algebra.Com's Answer #55790 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! 3/(cube root of 2) can be written as 3/(2^(1/3)). Now lets multiply both numerator and denominator by (2^(2/3)) to get rid of the exponent in the denominator. Remember, when we multiply exponents, we add them.\r \n" ); document.write( "\n" ); document.write( "And we get:\r \n" ); document.write( "\n" ); document.write( "((3)(2^(2/3)))/(2^(1/3+2/3))=\r \n" ); document.write( "\n" ); document.write( "((3)(cube root of 2^2))/2=\r \n" ); document.write( "\n" ); document.write( "((3)(cube root of (4))/2 or ((3)(4^(1/3)))/2-------------------ans\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "Use calculator to check your answer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |