document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165033>Question 165033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify the following radical expressions the square root of x times the square root of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121645 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=121645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "simplify the following radical expressions the square root of x times the square root of x<BR>\n" );
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document.write( "Here is the problem you are trying to solve<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%29+%2A+sqrt+%28x%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%29+%2A+sqrt+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We first have to know what square roots are<BR>\n" );
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document.write( "To find the square root of something, we are trying to find a number you can square (multiply twice) to get the number, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=+16+ ALIGN=MIDDLE  ALT=\"+x%5E2+=+16+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you are trying to find \"x\", this case it would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4+ ALIGN=MIDDLE  ALT=\"+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, ( or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+ ALIGN=MIDDLE  ALT=\"+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if you are using negative square roots) <BR>\n" );
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document.write( "Examples: find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2825%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2825%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the answer would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5+ ALIGN=MIDDLE  ALT=\"+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since you can multiply 5 twice ( or square \"5\" ) to get 25, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%285%29+=+25+ ALIGN=MIDDLE  ALT=\"+5%285%29+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5E2+=+25+ ALIGN=MIDDLE  ALT=\"+5%5E2+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2881%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2881%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the answer would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+ ALIGN=MIDDLE  ALT=\"9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can multiply \"9\" twice to get \"81\", you can also square \"9\" to get \"81\", <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%289%29+=+81+ ALIGN=MIDDLE  ALT=\"+9%289%29+=+81+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%5E2=81+ ALIGN=MIDDLE  ALT=\"+9%5E2=81+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If you multiply a square root of a number by itself( or square it), it will always equal the number in the square root sign.<BR>\n" );
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document.write( "Examples: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2849%29%2Asqrt%2849%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2849%29%2Asqrt%2849%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%287%29%287%29+ ALIGN=MIDDLE  ALT=\"+%287%29%287%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+49+ ALIGN=MIDDLE  ALT=\"+49+\"   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+%2864%29%2Asqrt%2864%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2864%29%2Asqrt%2864%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%288%29+ ALIGN=MIDDLE  ALT=\"+8%288%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+ ALIGN=MIDDLE  ALT=\"+64+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( number in the sqrt sign )  <BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%281%2F4%29+%2A+sqrt+%281%2F4%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%281%2F4%29+%2A+sqrt+%281%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+ ALIGN=MIDDLE  ALT=\"+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (same number that is in square root sign)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%2833%29%2Asqrt%2833%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%2833%29%2Asqrt%2833%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (We don't know the exact square root, but from the examples, we know the answer would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+33+ ALIGN=MIDDLE  ALT=\"+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt+%2833%29%29%5E2+=+33+ ALIGN=MIDDLE  ALT=\"+%28sqrt+%2833%29%29%5E2+=+33+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )( The answer is the number inside the square root sign, or \"33\")<BR>\n" );
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document.write( "Lets do the original question.<BR>\n" );
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document.write( " simplify the following radical expressions the square root of x times the square root of x<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%29+%2A+sqrt+%28x%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%29+%2A+sqrt+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is the same as all the examples, except that it is a letter.( It doesn't change the way we solve this problem though )<BR>\n" );
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document.write( "If the answer is the number( or letter) inside the square root sign<BR>\n" );
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document.write( "The answer would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since it is inside the square root sign. <BR>\n" );
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document.write( "To find the square root of a number, you would need to find a number multiplied by itself, or squared to get that number (or letter). So since we found the square root of \"x\" ( <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28x%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ), and we are multiplying by the same number, we are saying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt+%28x%29%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28sqrt+%28x%29%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which would be equal to \"x\"<BR>\n" );
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document.write( "The simplified number/variable/expression would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Your answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped,Levi </SPAN>\n" );
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