document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768376>Question 768376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help please.  Simplify 5[sqrt2]/2-i by rationalizing the denominator. \r<BR>\n" );
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document.write( "I multiplied it by 2+i/2+i, right?  I ended up w/ the answer of 15i[sqrt2]/4-i, but that's not right.  I'm not sure what I'm doing wrong.  Answer options:<BR>\n" );
document.write( "A. [sqrt2](2-i)/3<BR>\n" );
document.write( "B.  10/2[sqrt2]-i[sqrt2]<BR>\n" );
document.write( "C.  5[sqrt2](2-i)/3<BR>\n" );
document.write( "D.  2[sqrt2]+i[sqrt2] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468250 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468250\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help please.  Simplify 5[sqrt2]/2-i by rationalizing the denominator. \r<BR>\n" );
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document.write( "I multiplied it by 2+i/2+i, right?  I ended up w/ the answer of 15i[sqrt2]/4-i<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "it's (10*sqrt(2) + 5i*sqrt(2))/(4-i^2)<BR>\n" );
document.write( "The DEN is 4 - i^2 = 5<BR>\n" );
document.write( "= (10sqrt(2) + 5i*sqrt(2))/5<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%29+%2B+i%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%29+%2B+i%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );