document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371971>Question 371971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify. 3&#8730;1000\r<BR>\n" );
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document.write( "I have gotten the answer 333.3. Is that right? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #264969 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264969\">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=3sqrt%281000%29 ALIGN=MIDDLE  ALT=\"3sqrt%281000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify does not mean find a decimal approximation. Simplifying an expression with a square root means reduce the square root, if possible. Reducing a square root is done by finding perfect square factors, if any, of the radicand (the expression within the radical). So we are looking for perfect square factors of 1000. I hope it is easy to see that 100 is a perfect square and it is a factor of 1000:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28100%2A10%29 ALIGN=MIDDLE  ALT=\"3sqrt%28100%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next we use a property of radicals, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29+%2A+root%28a%2C+q%29 ALIGN=MIDDLE  ALT=\"root%28a%2C+p%2Aq%29+=+root%28a%2C+p%29+%2A+root%28a%2C+q%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to separate the perfect square factor into its own square root:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28100%29%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"3sqrt%28100%29%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The square root of 100 is 10 so now we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A10%2Asqrt%2810%29 ALIGN=MIDDLE  ALT=\"3%2A10%2Asqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30sqrt%2810%29 ALIGN=MIDDLE  ALT=\"30sqrt%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There are no other perfect square factors of 10 (other than 1) so this simplified version of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%281000%29 ALIGN=MIDDLE  ALT=\"3sqrt%281000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. (BTW, the decimal approximation for this is 94.8683298050513800) </SPAN>\n" );
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