document.write( "Question 408067: 1)how to Find the complex conjugate of (3+5i)/(1+2i)
\n" ); document.write( "2)how to Find all the seventh roots of (3+4i). \n" ); document.write( "

Algebra.Com's Answer #287549 by robertb(5830) $\"\"$ $\"About$

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1)

\n" ); document.write( "==> the complex conjugate is $\"%2813+%2B+i%29%2F5\"$ .\r
\n" ); document.write( "\n" ); document.write( "2)

, letting \r
\n" ); document.write( "\n" ); document.write( " $\"cos%28alpha%29+=+3%2F5\"$ and $\"sin%28alpha%29+=+4%2F5\"$ .\r
\n" ); document.write( "\n" ); document.write( "==>

,
\n" ); document.write( "using de Moivre's theorem.
\n" ); document.write( "All roots will be obtained when you let n = 0,1,2,3,4,5,6.
\n" ); document.write( " $\"alpha\"$ is obtained as arctan(4/3), or $\"tan%5E%28-1%29+%284%2F3%29\"$ . \n" ); document.write( "

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