document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761600>Question 761600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the square root of -7+8i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463322 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=463322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the square root of -7+8i<BR>\n" );
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document.write( "Use polar notation:<BR>\n" );
document.write( "r = sqrt[7^2 + 8^2] = 10.83<BR>\n" );
document.write( "theta = arctan(-8/7) = 131.2 degrees<BR>\n" );
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document.write( "-7+8i = 10.83cis(131.2)<BR>\n" );
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document.write( "sqrt(-7+8i) = sqrt(10.83)cis[(131.2+360n)/2]<BR>\n" );
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document.write( "If n = 0 you get sqrt(10.83)cis(65.6 degrees)<BR>\n" );
document.write( "If n = 1 you get sqrt(10.83)cis(245.50 degrees)<BR>\n" );
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document.write( "Convert to rectangular notation:<BR>\n" );
document.write( "sqrt = 3.29[cos(65.5)+isin(65.5)] = 1.36 + 3i<BR>\n" );
document.write( "sqrt = 3.29[cos(245.5)+isin(245.5)] = -1.36 -3i<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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