document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665620>Question 665620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express in terms of i.<BR>\n" );
document.write( " - sqrt -50<BR>\n" );
document.write( "i got -4i*sqrt 10. is this correct?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413957 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=413957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nope, close but no cigar.<BR>\n" );
document.write( "Use the (very powerful) identity<BR>\n" );
document.write( "(1) sqrt(a*b) = sqrt(a)*sqrt(b)<BR>\n" );
document.write( "Apply this to sqrt(-50)<BR>\n" );
document.write( "First we have <BR>\n" );
document.write( "(2) sqrt(-50) = sqrt(-1)*sqrt(50), OK so far?<BR>\n" );
document.write( "Using i to represent the imaginary factor sqrt(-1), we get<BR>\n" );
document.write( "(3) sqrt(-50) = i*sqrt(50)<BR>\n" );
document.write( "Now apply (1) to get<BR>\n" );
document.write( "(4) sqrt(50) = sqrt(25)*sqrt(2) or<BR>\n" );
document.write( "(5) sqrt(50) = 5*sqrt(2)<BR>\n" );
document.write( "Put (5) into (3) to yield<BR>\n" );
document.write( "(6) sqrt(-50) = (5i)sqrt(2) or<BR>\n" );
document.write( "(7) -sqrt(-50) = -5i*sqrt(2)<BR>\n" );
document.write( "Answer: -sqrt(-50) is given by (7) </SPAN>\n" );
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