document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149990>Question 149990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello there,<BR>\n" );
document.write( "I am currently working on an optional summer packet for school, and I came across this problem. I have the answer available to me, but I don't understand how to get the answer. If you could explain to me how to simplify this expression, I'd greatly appreciate it. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+-48y%5E3x%5E4+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+-48y%5E3x%5E4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110094 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As a reminder, let's review a basic rule of square roots:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+4x+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+4x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, I can factor the 4 as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+2%2A2%2Ax+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+2%2A2%2Ax+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you see a \"pair\" of terms, you can you can \"pull it out\" thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Asqrt%28+x+%29+ ALIGN=MIDDLE  ALT=\"+2%2Asqrt%28+x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "For your problem then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+-48y%5E3x%5E4+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+-48y%5E3x%5E4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt%28+-%284%2A4%2A3%29yyyx%5E2x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+sqrt%28+-%284%2A4%2A3%29yyyx%5E2x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice, the pair of \"4's\", \"y's\", and \"x^2\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2y%2Asqrt%28+-3y+%29+ ALIGN=MIDDLE  ALT=\"+4x%5E2y%2Asqrt%28+-3y+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );