document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=399134>Question 399134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> is there more then one way to solve a negative under a radical? if so can you show me the different ways i somewhat understand the consept of the i but i don't know how to bring it back into the equation like the square root of -32 i know you can breake it down and bring out the i but what next thnk you for your time sorry if im confusing<BR>\n" );
document.write( "EX. (this is where im stuck)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29+%2A+sqrt%28-32%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%29+%2A+sqrt%28-32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28i%29sqrt%2832%29 ALIGN=MIDDLE  ALT=\"%28i%29sqrt%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then i can break 32 down by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%29+%2A+sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%29+%2A+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "since 16 is the perfect square of 4 you bring 4 out of the radical<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+%2A+sqrt%282%29 ALIGN=MIDDLE  ALT=\"4+%2A+sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i think thats right but i dont know where the i gose or if you can get rid of it entirely??<BR>\n" );
document.write( "P.S. i hope that makes sence<BR>\n" );
document.write( "if there is another way please show me thanks again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #282655 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=282655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{-32}\ =\ \sqrt{-1}\sqrt{32}\ =\ i\sqrt{32}\ =\ i\sqrt{16}\sqrt{2}\ =\ 4i\sqrt{2}\">\r<BR>\n" );
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document.write( "Check your work:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ (4i\sqrt{2})^2\ =\ 4^2\,\cdot\,i^2\,\cdot\,\sqrt{2}^2\ =\ 16\,\cdot\,(-1)\,\cdot\,2\ =\ -32\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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