document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=246704>Question 246704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for all x > or equal to y > or equal to, the sqaure root of 250x9y4\r<BR>\n" );
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document.write( "The computer program i am using for compass practice says to find the square root of x9 which is x4 times the square root of x. they then say that it is equal to 5x4 times y4 times the square root of 10x. why is this so? I don't understand why they are equal.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180058 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=180058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28250%2Ax%5E9%2Ay%5E4+%29 ALIGN=MIDDLE  ALT=\"sqrt%28250%2Ax%5E9%2Ay%5E4+%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%2825%2A10%2Ax%5E9%2Ay%5E4+%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2A10%2Ax%5E9%2Ay%5E4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250 ALIGN=MIDDLE  ALT=\"250\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%2A10 ALIGN=MIDDLE  ALT=\"25%2A10\"   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%2825%2A10%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E4+%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2A10%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E9 ALIGN=MIDDLE  ALT=\"x%5E9\"   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%2Ax%5E2%2Ax ALIGN=MIDDLE  ALT=\"x%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax\"   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%2825%2A10%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E2%2Ay%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2A10%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E2%2Ay%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E4+ ALIGN=MIDDLE  ALT=\"y%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Ay%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2Ay%5E2\"   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%2825%29%2Asqrt%2810%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square root using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29 ALIGN=MIDDLE  ALT=\"sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%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=5%2Asqrt%2810%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Asqrt%2810%29%2Ax%2Ax%2Ax%2Ax%2Asqrt%28x%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29 ALIGN=MIDDLE  ALT=\"5%2Asqrt%2810%29%2Ax%2Ax%2Ax%2Ax%2Asqrt%28x%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <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 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=5%2Asqrt%2810%29%2Ax%2Ax%2Ax%2Ax%2Asqrt%28x%29%2Ay%2Ay ALIGN=MIDDLE  ALT=\"5%2Asqrt%2810%29%2Ax%2Ax%2Ax%2Ax%2Asqrt%28x%29%2Ay%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=5x%5E4y%5E2%2Asqrt%2810x%29 ALIGN=MIDDLE  ALT=\"5x%5E4y%5E2%2Asqrt%2810x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange and multiply the terms.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28250%2Ax%5E9%2Ay%5E4+%29 ALIGN=MIDDLE  ALT=\"sqrt%28250%2Ax%5E9%2Ay%5E4+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E4y%5E2%2Asqrt%2810x%29 ALIGN=MIDDLE  ALT=\"5x%5E4y%5E2%2Asqrt%2810x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28250%2Ax%5E9%2Ay%5E4+%29=5x%5E4y%5E2%2Asqrt%2810x%29 ALIGN=MIDDLE  ALT=\"sqrt%28250%2Ax%5E9%2Ay%5E4+%29=5x%5E4y%5E2%2Asqrt%2810x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where every variable is non-negative.<BR>\n" );
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