document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209551>Question 1209551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve an square root without a calculator. It has to be in a(square root symbol) b. Help please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849407 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=849407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Your question seems a bit vague, but I'll try my best to answer. <BR>\n" );
document.write( "It sounds like you're given something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2896%29 ALIGN=MIDDLE  ALT=\"sqrt%2896%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and your teacher wants it simplified into the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Asqrt%28b%29 ALIGN=MIDDLE  ALT=\"a%2Asqrt%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where a,b are integers and b > 0.\r<BR>\n" );
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document.write( "I'll provide two examples.\r<BR>\n" );
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document.write( "Example 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2872%29+=+sqrt%2836%2A2%29 ALIGN=MIDDLE  ALT=\"sqrt%2872%29+=+sqrt%2836%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > See note below\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2872%29+=+sqrt%2836%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2872%29+=+sqrt%2836%29%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the rule sqrt(x*y) = sqrt(x)*sqrt(y) where x,y cannot be negative.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2872%29+=+sqrt%286%5E2%29%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2872%29+=+sqrt%286%5E2%29%2Asqrt%282%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%2872%29+=+6%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"sqrt%2872%29+=+6%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the rule sqrt(x^2) = x where x is nonnegative.\r<BR>\n" );
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document.write( "Note: I factored 72 so that one of the factors is a perfect square. <BR>\n" );
document.write( "We want this factor to be the largest perfect square possible.\r<BR>\n" );
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document.write( "Example 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28245%29+=+sqrt%2849%2A5%29 ALIGN=MIDDLE  ALT=\"sqrt%28245%29+=+sqrt%2849%2A5%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%28245%29+=+sqrt%2849%29%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%28245%29+=+sqrt%2849%29%2Asqrt%285%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%28245%29+=+sqrt%287%5E2%29%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%28245%29+=+sqrt%287%5E2%29%2Asqrt%285%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%28245%29+=+7%2Asqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%28245%29+=+7%2Asqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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