document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231250>Question 231250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a complex number, in a+bi form, such that radical  i = a+bi. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171191 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=171191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a complex number, in a+bi form, such that radical i = a+bi.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "0+i = (cos(90) + isin(90)<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Sqrt(i) = (cos(90+360n) + isin(90+360n))^(1/2)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sqrt(i) = (cos[(90+360n)/2] + isin[(90+360n)/2]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Let n = 0, then:<BR>\n" );
document.write( "sqrt(i) = [cos(45) + isin(45)] = (sqrt(2))/2 + i(sqrt(2))/2<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Let n = 1, then:<BR>\n" );
document.write( "sqrt(i) = [cos(225)+isin(225) = (-sqrt(2)/2)+i(sqrt(2))/2<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Both answers are in the form a+bi<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );