document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=226003>Question 226003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I do not understand simplifying radicals. Could you please explain to me how to solve these kinds of problems.<BR>\n" );
document.write( "I have attached a link so that you can look at the problem yourself.<BR>\n" );
document.write( "http://www.teacherweb.com/GA/EvansMiddleSchool/JWard/page_514.pdf <BR>\n" );
document.write( "I need explaining on questions like 36,45,46,and 48. I have not had this kind of thing explained to me at my school yet. I don't understand how to solve these problems.<BR>\n" );
document.write( "Thanks so much for your time and I am sorry these are just stupid questions! (I am just not good at things like that!!)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168441 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%29%2Fsqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%2849%29%2Fsqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can look at these 2 radicals separately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%29+=+7 ALIGN=MIDDLE  ALT=\"sqrt%2849%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29+=+2 ALIGN=MIDDLE  ALT=\"sqrt%284%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%29%2Fsqrt%284%29+=+7%2F2 ALIGN=MIDDLE  ALT=\"sqrt%2849%29%2Fsqrt%284%29+=+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but, also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2849%29%2Fsqrt%284%29+=+sqrt%2849%2F4%29 ALIGN=MIDDLE  ALT=\"sqrt%2849%29%2Fsqrt%284%29+=+sqrt%2849%2F4%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%2849%2F4%29+=+sqrt%2812.25%29 ALIGN=MIDDLE  ALT=\"sqrt%2849%2F4%29+=+sqrt%2812.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "On my calculator, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812.25%29+=+3.5 ALIGN=MIDDLE  ALT=\"sqrt%2812.25%29+=+3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.5+=+7%2F2 ALIGN=MIDDLE  ALT=\"3.5+=+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, both ways of solving are equivilant<BR>\n" );
document.write( "also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%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%2810%29+=+3.1623 ALIGN=MIDDLE  ALT=\"sqrt%2810%29+=+3.1623\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%29+=+4 ALIGN=MIDDLE  ALT=\"sqrt%2816%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29+=+2.2361 ALIGN=MIDDLE  ALT=\"sqrt%285%29+=+2.2361\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%29+=+%283.1623%2A4%29%2F2.2361 ALIGN=MIDDLE  ALT=\"%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%29+=+%283.1623%2A4%29%2F2.2361\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283.1623%2A4%29%2F2.2361+=+12.6492%2F2.2361 ALIGN=MIDDLE  ALT=\"%283.1623%2A4%29%2F2.2361+=+12.6492%2F2.2361\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.6492%2F2.2361+=+5.6568 ALIGN=MIDDLE  ALT=\"12.6492%2F2.2361+=+5.6568\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "but, simplifying,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%29+=+sqrt%2810%2A16%29%2Fsqrt%285%29 ALIGN=MIDDLE  ALT=\"%28sqrt%2810%29%2Asqrt%2816%29%29%2Fsqrt%285%29+=+sqrt%2810%2A16%29%2Fsqrt%285%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%2810%2A16%29%2Fsqrt%285%29+=+sqrt%28%2810%2A16%29%2F5%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%2A16%29%2Fsqrt%285%29+=+sqrt%28%2810%2A16%29%2F5%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%2810%2A16%29%2F5%29+=+sqrt%2832%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2810%2A16%29%2F5%29+=+sqrt%2832%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%2832%29+=+sqrt%2816%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%2832%29+=+sqrt%2816%2A2%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%2816%2A2%29+=+sqrt%2816%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%2A2%29+=+sqrt%2816%29%2Asqrt%282%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%2816%29%2Asqrt%282%29+=+4%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%29%2Asqrt%282%29+=+4%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, I'll see if I get the same answer before I simplified<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Asqrt%282%29+=+4%2A1.4142 ALIGN=MIDDLE  ALT=\"4%2Asqrt%282%29+=+4%2A1.4142\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A1.4142+=+5.6568 ALIGN=MIDDLE  ALT=\"4%2A1.4142+=+5.6568\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Both methods give the same answer<BR>\n" );
document.write( "I hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );