document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337678>Question 337678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``Add or subtract terms whenever possible.<BR>\n" );
document.write( "2 cubed root of 192 (192 is in square root) + cubed root of 24 (twenty four is in square root)\r<BR>\n" );
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document.write( "Answer choices:<BR>\n" );
document.write( "A.) 10 cubed root 3<BR>\n" );
document.write( "B.) 2 cubed root 216<BR>\n" );
document.write( "C.) 4 cubed root 3<BR>\n" );
document.write( "D.) 3 cubed root 216 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #242099 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=242099\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Another way of writting the cubed root is X^(-3)<BR>\n" );
document.write( "So given:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28192%29%5E-3+%2B+24%5E-3 ALIGN=MIDDLE  ALT=\"2%2A%28192%29%5E-3+%2B+24%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To remove numbers from under the radical, the number has to appear the number of times that the radical is raised to. For example <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29+=+4%5E-2 ALIGN=MIDDLE  ALT=\"sqrt%284%29+=+4%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now the radical is raised to the second power so in order to remove a number from under the radical, the number must be there twice.  Factor the 4. 4 = 2*2. Now rewrite the equation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E-2+=+2 ALIGN=MIDDLE  ALT=\"4%5E-2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So for your given equation, we need to first find the factors of 24 and 192.<BR>\n" );
document.write( "Lets start with 24<BR>\n" );
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document.write( "24/3 = 8<BR>\n" );
document.write( "8/2 = 4<BR>\n" );
document.write( "6/2 = 2<BR>\n" );
document.write( "So the factors of 24 = 2*2*2*3.<BR>\n" );
document.write( "Notice that the 2 shows up three times.<BR>\n" );
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document.write( "Find the factors of 192.<BR>\n" );
document.write( "192/8 = 24<BR>\n" );
document.write( "Now we just found the factors of 24 and 8<BR>\n" );
document.write( "24 = 2*2*2*3<BR>\n" );
document.write( "8 = 2*2*2<BR>\n" );
document.write( "So the factors of 192 = 2*2*2*3*2*2*2<BR>\n" );
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document.write( "Rewrite the given equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%28192%29%5E-3+%2B+24%5E-3 ALIGN=MIDDLE  ALT=\"2%2A%28192%29%5E-3+%2B+24%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%282%2A2%2A2%2A3%2A2%2A2%2A2%0D%0A%29%5E-3+%2B+%282%2A2%2A2%2A3%29%5E-3 ALIGN=MIDDLE  ALT=\"2%2A%282%2A2%2A2%2A3%2A2%2A2%2A2%0D%0A%29%5E-3+%2B+%282%2A2%2A2%2A3%29%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since both parts are raised to the -3 degree, we can take out a number as long as it shows up 3 times.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%282%2A2%29%2A3%5E-3+%2B+2%2A3%5E-3 ALIGN=MIDDLE  ALT=\"2%2A%282%2A2%29%2A3%5E-3+%2B+2%2A3%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A3%5E-3+%2B+2%2A3%5E-3 ALIGN=MIDDLE  ALT=\"8%2A3%5E-3+%2B+2%2A3%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A3%5E-3 ALIGN=MIDDLE  ALT=\"10%2A3%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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