document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442307>Question 442307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, Can you help me simplify step by step\r<BR>\n" );
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document.write( "&#8730;4:(48)* 3&#8730;4:(3)\r<BR>\n" );
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document.write( "( The 4th root of 48 Times the 3 * 4th root of 3  )\r<BR>\n" );
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document.write( "The answer comes to 6* 4th root of 9; but i dont know how my teacher got it.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305051 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4th root of 48  * 3 * 4th root (3)\r<BR>\n" );
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document.write( "Yeah, tough to write out.\r<BR>\n" );
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document.write( "Anyway, you can combine 4th roots. I will call a 4th root qtrt for (quartic root)\r<BR>\n" );
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document.write( "If we take 48 down to its prime decomposition we get:\r<BR>\n" );
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document.write( "qtrt(2*2*2*2*3)\r<BR>\n" );
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document.write( "Notice the 4 2's. Then this is the same thing as  qtrt(2^4 * 3).\r<BR>\n" );
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document.write( "So we can factor out a qtrt(2^4), which is just 2.\r<BR>\n" );
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document.write( "Thus we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=qtrt%2848%29++=+2+qtrt%283%29 ALIGN=MIDDLE  ALT=\"qtrt%2848%29++=+2+qtrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have 2 qtrt(3)*3*qtrt(3).\r<BR>\n" );
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document.write( "We combine into  2*3 qrt(3 *3).\r<BR>\n" );
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document.write( "And this simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6qtrt%289%29 ALIGN=MIDDLE  ALT=\"6qtrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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