document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601381>Question 601381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I simplify:  (4 sqrt(6))/ sqrt(30).  Step by step answer please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379776 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379776\">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=4%2Asqrt%286%29%2F+sqrt%2830%29=4%2Asqrt%286%29%2F+sqrt%286%2A5%29=4%2Asqrt%286%29%2F+%28sqrt%286%29%2Asqrt%285%29%29=4%2Fsqrt%285%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "However, math teachers (and people who enjoy math) dislike seeing irrational numbers (radicals) in denominators.<BR>\n" );
document.write( "So we do a transformation that we call \"rationalizing.\"<BR>\n" );
document.write( "We multiply numerator and denominator times another irrational number, to get a rational denominator.<BR>\n" );
document.write( "It goes like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fsqrt%285%29=4%2Asqrt%285%29%2F%28sqrt%285%29-sqrt%285%29%29=4%2Asqrt%285%29%2F5 ALIGN=MIDDLE  ALT=\"4%2Fsqrt%285%29=4%2Asqrt%285%29%2F%28sqrt%285%29-sqrt%285%29%29=4%2Asqrt%285%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now the denominator is 5, which is a rational number, and we are happy. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );