document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867405>Question 867405</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express 3+4i in polar form and hence determine the exact square roots of 3+4i in<BR>\n" );
document.write( "the form a + ib, where a, b are real numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523003 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Express 3+4i in polar form and hence determine the exact square roots of 3+4i in<BR>\n" );
document.write( "the form a + ib, where a, b are real numbers.<BR>\n" );
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document.write( "r = sqrt[3^2+4^2] = sqrt[25] = 5<BR>\n" );
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document.write( "angle = arctan(4/3) = 36.87 degrees<BR>\n" );
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document.write( "So, 3+4i = 5[cis(36+87+360n)]<BR>\n" );
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document.write( "sqrt(3+4i) = ?<BR>\n" );
document.write( "Let n = 0, then sqrt(3+4i) = sqrt(5)[cis(36.87/2)]<BR>\n" );
document.write( "Let n = 1, then sqrt(3+4i) = sqrt(5)[cis[(36.87+360)/2]<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
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