document.write( "Question 265771: how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another? \n" ); document.write( "
Algebra.Com's Answer #195377 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
how do i show that 3+2i; 3-2i/13 is multiplicative inverse of one another
\n" ); document.write( "
\r\n" );
document.write( "Multiply them together and see if you get 1, the multiplicative identity,\r\n" );
document.write( "for an answer.\r\n" );
document.write( "\r\n" );
document.write( "If you get 1, then they are multiplicative inverses of each other.\r\n" );
document.write( "If you get something other than 1 then they are not.\r\n" );
document.write( "\r\n" );
document.write( "\"%283%2B2i%29%28%283-2i%29%2F13%29\"\r\n" );
document.write( "\r\n" );
document.write( "Put the first one over 1:\r\n" );
document.write( "\r\n" );
document.write( "\"%28%283%2B2i%29%2F1%29%28%283-2i%29%2F13%29\"\r\n" );
document.write( "\r\n" );
document.write( "Multiply the tops and the bottoms:\r\n" );
document.write( "\r\n" );
document.write( "\"%28%283%2B2i%29%283-2i%29%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "FOIL out the top:\r\n" );
document.write( "\r\n" );
document.write( "\"%289-6i%2B6i-4i%5E2%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "\"%289-cross%286i%29%2Bcross%286i%29-4i%5E2%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "\"%289-4i%5E2%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "Since \"i%5E2=-1\" replace \"i%5E2\" by \"-1\"\r\n" );
document.write( "\r\n" );
document.write( "\"%289-4%28-1%29%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "\"%289%2B4%29%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "\"13%2F13\"\r\n" );
document.write( "\r\n" );
document.write( "\"1\"\r\n" );
document.write( "\r\n" );
document.write( "We got 1, the multiplicative identity so that proves \r\n" );
document.write( "that they are multiplicative inverses of each other.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "
\n" ); document.write( "
\n" );