document.write( "Question 973570: Hi,\r
\n" ); document.write( "\n" ); document.write( "Well I've run into a problem that I can't really do.\r
\n" ); document.write( "\n" ); document.write( "The question is to rationalise 1/(cube root 2 - 1). The answer is cube root 2 + cube root 4 + 1. I know how to rationalise 1/cube root 2 but I'm not sure how to do this one. What I got is:\r
\n" ); document.write( "\n" ); document.write( "1/cube root 2-1=1/cube root 2-1 * (cube root 2^2 + 1)/(cube root 2^2 + 1)\r
\n" ); document.write( "\n" ); document.write( "And I've so on and so forth, but I didn't get the right answer. I got cube root 4 + 1.\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #853955 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi,\r\n" );
document.write( "\r\n" );
document.write( "Well I've run into a problem that I can't really do.\r\n" );
document.write( "\r\n" );
document.write( "The question is to rationalise 1/(cube root 2 - 1). The answer is cube root 2 + cube root 4 + 1. I know\r\n" );
document.write( "how to rationalise 1/cube root 2 but I'm not sure how to do this one. What I got is:\r\n" );
document.write( "\r\n" );
document.write( "1/cube root 2-1=1/cube root 2-1 * (cube root 2^2 + 1)/(cube root 2^2 + 1)\r\n" );
document.write( "\r\n" );
document.write( "And I've so on and so forth, but I didn't get the right answer. I got cube root 4 + 1.\r\n" );
document.write( "\r\n" );
document.write( "Thanks\r\n" );
document.write( "*************************************************\r\n" );
document.write( "If this is \"1%2F%28root+%283%2C+2%29+-+1%29\", then your 1st answer, \"cube root 2 + cube root 4 + 1,\" is WRONG, but the 2nd, \"cube\r\n" );
document.write( "root 4 + 1,\" is CORRECT!! See BELOW!!\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F%28root+%283%2C+2%29+-+1%29\" = \"1%2F%28-+1+%2B+root+%283%2C+2%29%29\" \r\n" );
document.write( "\"1%2F%28-+1+%2B+root+%283%2C+2%29%29\" * \"%28-+1+-+root+%283%2C+4%29%29%2F%28-+1+-+root+%283%2C+4%29%29\" ---- Rationalizing denominator by MULTIPLYING numerator and denominator by \"-+1+-+root+%283%2C+2%5E2%29\" = \"-+1+-+root+%283%2C+4%29\" \r\n" );
document.write( " =  = \"%28-+1+-+root+%283%2C+4%29%29%2F%28%28-+1%29%5E2+-+root+%283%2C+2%2A4%29%29\" = \"%28-+1+-+root+%283%2C+4%29%29%2F%28%28-+1%29%5E2+-+root+%283%2C+8%29%29\" = \"%28-+1+-+root+%283%2C+4%29%29%2F%281+-+2%29\" = \"%28-+1+-+root+%283%2C+4%29%29%2F%28-+1%29\" = \"highlight%281+%2B+root+%283%2C+4%29%29%29\"
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