document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596557>Question 596557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write ^4sqrt(8)*^3sqrt(5)as a single radical expression\r<BR>\n" );
document.write( "\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 #377782 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=377782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, multiply the numbers OUTSIDE the radical and keep OUTSIDE the radical.  Then, multiply the numbers INSIDE the radical and keep them INSIDE the radical, like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%288%29%2A3%2Asqrt%285%29+ ALIGN=MIDDLE  ALT=\"4%2Asqrt%288%29%2A3%2Asqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Asqrt%2840%29 ALIGN=MIDDLE  ALT=\"12%2Asqrt%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, you must simplify the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2840%29 ALIGN=MIDDLE  ALT=\"sqrt%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by breaking it down as follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Asqrt%284%29%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"12%2Asqrt%284%29%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A2%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"12%2A2%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"24%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For additional explanation on SQUARE ROOTS, please see my own website.  The easiest way to find it is to use the easy to spell and easy to remember link www.mathinlivingcolor.com.  On this single page website, there is a link at the bottom of the page that takes you to my Homepage.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Near the top of my homepage, look for the link \"Basic, Intermediate, and College Algebra: One Step at a Time\", and choose Basic Algebra (Chapter 5).  There you will find explanations that may be easier to understand than your traditional textbooks, and many of the exercises from these sections are solved in color on the \"MATH IN LIVING COLOR\" pages that go with these sections.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are also VIDEOS of me teaching this topic a few years before I retired.  These videos are FREE, and you can see them by looking on my Homepage for the link \"Rapalje Videos in Living Color.\"  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you like my website, please tell your friends and family.  It's all FREE.  You can contact me by Email at rapaljer@seminolestate.edu. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Professor of Mathematics<BR>\n" );
document.write( "Seminole State College of Florida </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );