document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152651>Question 1152651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "Find the smallest  value of x such that 1125x is a perfect  square.\r<BR>\n" );
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document.write( "Hence find the value of the square  root of 1125x.\r<BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #774693 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10553)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=774693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hi\r<BR>\n" );
document.write( "\n" );
document.write( "Find the smallest  value of x such that 1125x is a perfect  square.\r<BR>\n" );
document.write( "\n" );
document.write( "Hence find the value of the square  root of 1125x.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks <BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C5%2C+1125x%2C+%22=%22%2C+%223.3.5.5.5.x.%22%2C+%22=%22%2C+3%5E2+%2A+5%5E3+%2A+x%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the above to be a PERFECT SQUARE, the FACTORS must ALL have EVEN exponents.<BR>\n" );
document.write( "3<sup>2</sup> already has an EVEN exponent, but 5<sup>3</sup> needs to have the NEXT EVEN exponent, which is 4.<BR>\n" );
document.write( "We then get the following: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C7%2C+3%5E2+%2A+5%5E3+%2A+5%2C+%22=%22%2C+3%5E2+%2A+5%5E4%2C+%22=%22%2C+9%28625%29%2C+%22=%22%2C+%225%2C625%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This means that the SMALLEST value for x is 5, and the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C11%2C+sqrt%281125x%29%2C+or%2C+sqrt%28%221%2C125%285%29%22%29%2C+%22=%22%2C+sqrt%283%5E2+%2A+5%5E4%29%2C+%22=%22%2C+3%285%5E2%29%2C+%22=%22%2C+3%2825%29%2C+%22=%22%2C+75%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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