document.write( "Question 895695: 1/ qube root of 3+1 \n" ); document.write( "
Algebra.Com's Answer #542949 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
What? Which?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2Froot%283%2C3%29%2B1\"
\n" ); document.write( "Multiply only the first rational expression by \"%28root%283%2C3%29root%283%2C3%29%29%2F%28root%283%2C3%29root%283%2C3%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F%28root%283%2C3%29%2B1%29\"
\n" ); document.write( "A little trickier.
\n" ); document.write( "A very good piece of guidance is shown, here:
\n" ); document.write( "http://www.purplemath.com/modules/radicals7.htm\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "OR still, you you mean,
\n" ); document.write( "\"1%2Froot%283%2C3%2B1%29\"
\n" ); document.write( "?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "If your expression is the first one or the last one, then rationalizing the denominator is very simple.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "IF you have THIS ONE, \"highlight_green%281%2F%28root%283%2C3%29%2B1%29%29\", then this is how and what to know:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Polynomial division of \"a%5E3%2Bb%5E3\" by \"a%2Bb\" will give the quotient, \"a%5E2-ab%2Bb%5E2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Starting with \"1%2F%28root%283%2C3%29%2B1%29\" and using \"root%283%2C3%29=a\" and \"1=b\", rationalize the denominator
\n" ); document.write( "through multiplication of the expression by 1.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This 1 uses \"%28root%283%2C3%29%29%5E2-root%283%2C3%29%2B1\" in numerator and denominator.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28root%283%2C3%29%29%5E2-root%283%2C3%29%2B1%29%2F%283%2B1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"highlight%28%28%28root%283%2C3%29%29%5E2-root%283%2C3%29%2B1%29%2F4%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );