document.write( "Question 40420: Solve this:\r
\n" ); document.write( "\n" ); document.write( "2/(2-1/sqrt(2))\r
\n" ); document.write( "\n" ); document.write( "Possible answers:\r
\n" ); document.write( "\n" ); document.write( "a. (4+sqrt(2))/7
\n" ); document.write( "b. (4*sqrt(2)+2)/7
\n" ); document.write( "c. (2*sqrt(2)+1)/7
\n" ); document.write( "d. (8+2*sqrt(2))/7 \n" ); document.write( "
Algebra.Com's Answer #25792 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Solve this:\r\n" );
document.write( "\r\n" );
document.write( "2/(2-1/sqrt(2))\r\n" );
document.write( "\r\n" );
document.write( "Possible answers:\r\n" );
document.write( "\r\n" );
document.write( "a. (4+sqrt(2))/7\r\n" );
document.write( "b. (4*sqrt(2)+2)/7\r\n" );
document.write( "c. (2*sqrt(2)+1)/7\r\n" );
document.write( "d. (8+2*sqrt(2))/7\r\n" );
document.write( "\r\n" );
document.write( "    2\r\n" );
document.write( "——————————\r\n" );
document.write( "      1\r\n" );
document.write( "2 - —————\r\n" );
document.write( "      Ö2\r\n" );
document.write( "\r\n" );
document.write( "First of all rationalize the denominator of\r\n" );
document.write( "\r\n" );
document.write( "   1\r\n" );
document.write( " —————\r\n" );
document.write( "   Ö2\r\n" );
document.write( "\r\n" );
document.write( "by multiplying top and bottom by Ö2\r\n" );
document.write( "           _       _\r\n" );
document.write( "   1      Ö2      Ö2 \r\n" );
document.write( " ————— × ————— = —————\r\n" );
document.write( "   Ö2     Ö2       2\r\n" );
document.write( "\r\n" );
document.write( "And substitute this for the bottom right\r\n" );
document.write( "\r\n" );
document.write( "    2\r\n" );
document.write( "——————————\r\n" );
document.write( "     Ö2\r\n" );
document.write( "2 - ————\r\n" );
document.write( "      2\r\n" );
document.write( "\r\n" );
document.write( "Now we get a common denominator in the bottom\r\n" );
document.write( "\r\n" );
document.write( "      2\r\n" );
document.write( "———————————————\r\n" );
document.write( "   4     Ö2\r\n" );
document.write( "  ——— - —————\r\n" );
document.write( "   2      2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "      2\r\n" );
document.write( "———————————————\r\n" );
document.write( "    4 - Ö2\r\n" );
document.write( "  ——————————\r\n" );
document.write( "      2\r\n" );
document.write( "\r\n" );
document.write( "Now write this as a division\r\n" );
document.write( "\r\n" );
document.write( "            _ \r\n" );
document.write( "       4 - Ö2\r\n" );
document.write( "2 ÷  ——————————\r\n" );
document.write( "         2\r\n" );
document.write( "\r\n" );
document.write( "Write the 2 over 1:\r\n" );
document.write( "\r\n" );
document.write( "              _\r\n" );
document.write( " 2       4 - Ö2\r\n" );
document.write( "——— ÷  ——————————\r\n" );
document.write( " 1         2\r\n" );
document.write( "\r\n" );
document.write( "Invert the second fraction and multiply:\r\n" );
document.write( "\r\n" );
document.write( " 2        2  \r\n" );
document.write( "——— ×  ————————\r\n" );
document.write( " 1      4 - Ö2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     4  \r\n" );
document.write( "———————————\r\n" );
document.write( "  4 - Ö2\r\n" );
document.write( "\r\n" );
document.write( "Rationalize the denominator by multiplying\r\n" );
document.write( "both numerator and denominator by 4 + Ö2\r\n" );
document.write( "                 _\r\n" );
document.write( "    4       4 + Ö2\r\n" );
document.write( "———————— × ————————\r\n" );
document.write( " 4 - Ö2     4 + Ö2\r\n" );
document.write( "           _\r\n" );
document.write( "    4(4 + Ö2)\r\n" );
document.write( "——————————————————\r\n" );
document.write( " (4 - Ö2)(4 + Ö2)\r\n" );
document.write( "\r\n" );
document.write( "Use FOIL on the bottom:\r\n" );
document.write( "           _\r\n" );
document.write( "    4(4 + Ö2)\r\n" );
document.write( "———————————————————\r\n" );
document.write( "16 + 4Ö2 - 4Ö2 - 2\r\n" );
document.write( "           _\r\n" );
document.write( "    4(4 + Ö2)\r\n" );
document.write( "  ————————————\r\n" );
document.write( "       14\r\n" );
document.write( "\r\n" );
document.write( "Divide both the 4 and the 14 by 2\r\n" );
document.write( "\r\n" );
document.write( "    2      _\r\n" );
document.write( "    4(4 + Ö2)\r\n" );
document.write( "  ————————————\r\n" );
document.write( "       14\r\n" );
document.write( "       7\r\n" );
document.write( "          _\r\n" );
document.write( "   2(4 + Ö2)\r\n" );
document.write( "  ——————————\r\n" );
document.write( "      7\r\n" );
document.write( "\r\n" );
document.write( "Distribute out the top\r\n" );
document.write( "         _ \r\n" );
document.write( "   8 + 2Ö2)\r\n" );
document.write( "  ——————————\r\n" );
document.write( "      7\r\n" );
document.write( "\r\n" );
document.write( "That's choice (d).\r\n" );
document.write( "\r\n" );
document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
\n" ); document.write( "
\n" );