document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=77916>Question 77916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to problems i have been trying to solve please let me know if i am right or wrong. Use property 1 to simplify assume that all variables represent positive real numbers.\r<BR>\n" );
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document.write( "1.   sqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   = sqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A5 ALIGN=MIDDLE  ALT=\"10%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   = sqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   = 5sqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2.   sqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72x%5E3 ALIGN=MIDDLE  ALT=\"72x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   =9*x^2*8x<BR>\n" );
document.write( "   =3xsqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x ALIGN=MIDDLE  ALT=\"8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >=3xsqrt<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55836 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=55836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "1.   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2850%29 ALIGN=MIDDLE  ALT=\"sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%2A5%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%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%2810%29%2A%285%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%29%2A%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%29%2A+sqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%29%2A+sqrt%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=5%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--- should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The thing to do is to begin by looking at 50 and trying to find some factor or factors<BR>\n" );
document.write( "that are squares.  In this case 25 is a factor of 50 that has a \"nice\" square root of 5.<BR>\n" );
document.write( "The comments after the <---- show you the way to simplify the problem step by step and the<BR>\n" );
document.write( "answer to this problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "2.   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2872x%5E3%29 ALIGN=MIDDLE  ALT=\"sqrt%2872x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2A8x ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2A8x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---- the biggest factor of 72 that is a square is 36. Use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36x%5E2%2A2x ALIGN=MIDDLE  ALT=\"36x%5E2%2A2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This converts the problem to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2836%2Ax%5E2%29%2Asqrt%282%2Ax%29 ALIGN=MIDDLE  ALT=\"sqrt%2836%2Ax%5E2%29%2Asqrt%282%2Ax%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Asqrt%288x%29+=3x%2Asqrt%282x%29 ALIGN=MIDDLE  ALT=\"3x%2Asqrt%288x%29+=3x%2Asqrt%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2Asqrt%282x%29 ALIGN=MIDDLE  ALT=\"6x%2Asqrt%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "You had the right idea here.  Your last step almost got the correct answer.  Your last <BR>\n" );
document.write( "step should have been:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2Asqrt%288x%29=3x%2Asqrt%284%2A2x%29+=+3x%2Asqrt%284%29%2Asqrt%282x%29=+3x%2A2%2Asqrt%282x%29+=+6x%2Asqrt%282x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and this is the correct answer.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this gives you a little more insight to the problem. You seem to have the basic idea<BR>\n" );
document.write( "of solving problems such as these and just needed a couple of minor suggestions to get you<BR>\n" );
document.write( "back on track. Keep up the good work.<BR>\n" );
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