document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015508>Question 1015508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please kindly solve this problem : Combine like radicals in 5sqrt2x-5sqrt32x^5+5sqrt-64x+3sqrt8x^3<BR>\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 #631869 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5sqrt2x-5sqrt32x^5+5sqrt64x+3sqrt8x^3; I edited sqrt (-64x) to sqrt (64x).<BR>\n" );
document.write( "5sqrt(2x)<BR>\n" );
document.write( "5sqrt 32x^5=4x^2 sqrt (2x)=20x^2 sqrt(2x); sqrt 32 is sqrt 16*sqrt2 and sqrt x^5 is x^2 sqrt x<BR>\n" );
document.write( "5 sqrt(64x)=40sqrt(x)<BR>\n" );
document.write( "3sqrt(8x^3)=6x(sqrt(2x), because sqrt 8=2 sqrt (2) and sqrt x^3=x sqrt(x)<BR>\n" );
document.write( "Have 5 sqrt (2x)-20 x^2 sqrt(2x)+6x sqrt(2x)<BR>\n" );
document.write( "and 40 sqrt(x)<BR>\n" );
document.write( "The three terms are {-20x^2+6x+5){sqrt(2x} +40 sqrt (x)<BR>\n" );
document.write( "Note, I could break down 64sqrt (x) to 4 sqrt(2)(sqrt(2x), but that would have two radicals.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );