document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91108>Question 91108</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I submitted this question and got an answer but it's not one of the answer choices on my lesson sheet.  I follow your explanation until step 5-6 then I don't understand the rest.  I am reposting the same question with the answer choices this time.  I'm thinking the answer is \"b\" by the answer you came up with.  Do you agree?<BR>\n" );
document.write( "What is the square root of 162x^6 over 64x^2<BR>\n" );
document.write( "The answer choices are:  a.  3x^2 sq. root 2 over 8;  b.  9x^2 sq. root 2 over 8<BR>\n" );
document.write( "or c.  3x^2 sq. root 2 over 4  Thank you once again for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66130 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=66130\">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=162x%5E6%2F64x%5E2 ALIGN=MIDDLE  ALT=\"162x%5E6%2F64x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lets simplify the numerator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28162%2Ax%5E6%29 ALIGN=MIDDLE  ALT=\"sqrt%28162%2Ax%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2881%2A2%2Ax%5E6%29 ALIGN=MIDDLE  ALT=\"sqrt%2881%2A2%2Ax%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162 ALIGN=MIDDLE  ALT=\"162\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2A2 ALIGN=MIDDLE  ALT=\"81%2A2\"   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=sqrt%2881%2A2%2Ax%5E2%2Ax%5E2%2Ax%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2881%2A2%2Ax%5E2%2Ax%5E2%2Ax%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E6 ALIGN=MIDDLE  ALT=\"x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Ax%5E2%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Ax%5E2%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2881%29%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2881%29%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"9%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81 ALIGN=MIDDLE  ALT=\"81\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 9 <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Asqrt%282%29%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"9%2Asqrt%282%29%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect squares <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Asqrt%282%29%2Ax%5E3 ALIGN=MIDDLE  ALT=\"9%2Asqrt%282%29%2Ax%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the common terms \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E3%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"9%2Ax%5E3%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms \r<BR>\n" );
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document.write( "So the expression becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E3%2Asqrt%282%29%2F64x%5E2 ALIGN=MIDDLE  ALT=\"9%2Ax%5E3%2Asqrt%282%29%2F64x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lets simplify the denominator:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2864%2Ax%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2864%2Ax%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2864%29%2Asqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2864%29%2Asqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%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=8%2Asqrt%28x%5E2%29 ALIGN=MIDDLE  ALT=\"8%2Asqrt%28x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square 64 to get 8<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ax ALIGN=MIDDLE  ALT=\"8%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of the perfect square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get  x<BR>\n" );
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document.write( "So the expression becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E3%2Asqrt%282%29%2F8x ALIGN=MIDDLE  ALT=\"9%2Ax%5E3%2Asqrt%282%29%2F8x\"   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=9%2Ax%5E%283-1%29%2Asqrt%282%29%2F8 ALIGN=MIDDLE  ALT=\"9%2Ax%5E%283-1%29%2Asqrt%282%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Ax%5E2%2Asqrt%282%29%2F8 ALIGN=MIDDLE  ALT=\"9%2Ax%5E2%2Asqrt%282%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So the answer is B). So you are correct. </SPAN>\n" );
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