document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105180>Question 1105180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a, b, and c are positive numbers such that &#8730;a/&#8730;b = 8c and ac = b what is the value of c? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719936 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a, b, and c are positive numbers such that &#8730;a/&#8730;b = 8c and ac = b,<BR>\n" );
document.write( " what is the value of c?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%29%2Fsqrt%28b%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%29%2Fsqrt%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8c<BR>\n" );
document.write( "we can write it<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28a%2Fb%29 ALIGN=MIDDLE  ALT=\"sqrt%28a%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8c<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb+=+64c%5E2 ALIGN=MIDDLE  ALT=\"a%2Fb+=+64c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=64bc%5E2 ALIGN=MIDDLE  ALT=\"64bc%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%2864c%5E2%29 ALIGN=MIDDLE  ALT=\"a%2F%2864c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we know ac = b <BR>\n" );
document.write( "ac = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F%2864c%5E2%29 ALIGN=MIDDLE  ALT=\"a%2F%2864c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by a<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%2864c%5E2%29 ALIGN=MIDDLE  ALT=\"1%2F%2864c%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by c^2 <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E3+=+1%2F64 ALIGN=MIDDLE  ALT=\"c%5E3+=+1%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the cube root of both sides<BR>\n" );
document.write( "c = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );