document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021320>Question 1021320</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am having trouble with absolute value of complex numbers.  I have 5 complex numbers and need to figure out which one has the greatest absolute value. 1)-2+i sqrt(10) 2)3- i sqrt (5) 3) - sqrt(9)-2i (I think this answer is sqrt (13) 4) 2+3i (I think this answer is also sqrt (13) and 5)sqrt (6)-3i I appreciate any help anyone can give me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637097 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637097\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe this is what you are looking for.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/regents/math/algtrig/ato6/absvlecomlesson.htm\" target = \"_blank\">http://www.regentsprep.org/regents/math/algtrig/ato6/absvlecomlesson.htm</a>\r<BR>\n" );
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document.write( "let's do them in turn.\r<BR>\n" );
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document.write( "remember the general form is a + bi.<BR>\n" );
document.write( "this can also be shown as a + ib, as in some of your problems.<BR>\n" );
document.write( "a is the real part.<BR>\n" );
document.write( "b is the coefficient of the imaginary part.\r<BR>\n" );
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document.write( "the absolute value is equal to sqrt(a^2 + b^2).\r<BR>\n" );
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document.write( "your first one is:\r<BR>\n" );
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document.write( "1) -2 + i * sqrt(10) \r<BR>\n" );
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document.write( "a = -2<BR>\n" );
document.write( "b = sqrt(10)\r<BR>\n" );
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document.write( "sqrt(a^2 + b^2) = sqrt(4 + 10) = sqrt(14)\r<BR>\n" );
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document.write( "-----\r<BR>\n" );
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document.write( "2) 3 - i * sqrt (5) \r<BR>\n" );
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document.write( "a = 3<BR>\n" );
document.write( "b = -sqrt(5)\r<BR>\n" );
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document.write( "sqrt(a^2 + b^2) = sqrt(9 + 5) = sqrt(14)\r<BR>\n" );
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document.write( "-----\r<BR>\n" );
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document.write( "3) - sqrt(9) - 2i\r<BR>\n" );
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document.write( "a = sqrt(9)<BR>\n" );
document.write( "b = -2\r<BR>\n" );
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document.write( "sqrt(a^2 + b^2) = sqrt(9 + 4) = sqrt(13)\r<BR>\n" );
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document.write( "-----\r<BR>\n" );
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document.write( "4) 2 + 3i \r<BR>\n" );
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document.write( "a = 2<BR>\n" );
document.write( "b = 3\r<BR>\n" );
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document.write( "sqrt(a^2 + b^2) = sqrt(4 + 9) = sqrt(13)\r<BR>\n" );
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document.write( "-----\r<BR>\n" );
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document.write( "5) sqrt(6)-3i\r<BR>\n" );
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document.write( "a = sqrt(6)<BR>\n" );
document.write( "b = -3\r<BR>\n" );
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document.write( "sqrt(a^2 + b^2) = sqrt(6 + 9) = sqrt(15)\r<BR>\n" );
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document.write( "your solutions are:\r<BR>\n" );
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document.write( "1.  sqrt(14)<BR>\n" );
document.write( "2.  sqrt(14)<BR>\n" );
document.write( "3.  sqrt(13)<BR>\n" );
document.write( "4.  sqrt(13)<BR>\n" );
document.write( "5.  sqrt(15)\r<BR>\n" );
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document.write( "looks like the last one is the biggest.\r<BR>\n" );
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document.write( "looks like you did some of the calculations  correctly.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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