document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848999>Question 848999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please how to calculate the cubic root of numbers by hand.Please help me with this equation\r<BR>\n" );
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document.write( "35=3*(8.5) + (cubic root a + (169))\r<BR>\n" );
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document.write( "Please give me a detailed explanation and solution to this question. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511337 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=511337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are trying to show  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=3%2A%288.5%29%2B%28root%283%2Ca%29%2B169%29 ALIGN=MIDDLE  ALT=\"35=3%2A%288.5%29%2B%28root%283%2Ca%29%2B169%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > according to what you wrote.\r<BR>\n" );
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document.write( "First, isolate the root(3,a).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=3%288.5%29%2Broot%283%2Ca%29%2B169 ALIGN=MIDDLE  ALT=\"35=3%288.5%29%2Broot%283%2Ca%29%2B169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Ca%29=35-3%288.5%29-169 ALIGN=MIDDLE  ALT=\"root%283%2Ca%29=35-3%288.5%29-169\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the parentheses not having any effect.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2Ca%29=-159.5 ALIGN=MIDDLE  ALT=\"root%283%2Ca%29=-159.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-root%283%2Ca%29=159.5 ALIGN=MIDDLE  ALT=\"-root%283%2Ca%29=159.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and the result would be irrational.  \r<BR>\n" );
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document.write( "There are methods to do this by hand; or you could do it in in a more simple manner using or starting from known cubes of whole numbers.  You could go a bit fancier and use logarithms.  No matter how to go through, the result will be an approximation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E3=125 ALIGN=MIDDLE  ALT=\"5%5E3=125\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E3=216 ALIGN=MIDDLE  ALT=\"6%5E3=216\"   DISABLED_style= \"max-width:90%; height:auto;\" >;  you would or could test values between 5 and 6, being something near to 5.5.<BR>\n" );
document.write( "(You would find that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.50%5E3=166.375 ALIGN=MIDDLE  ALT=\"5.50%5E3=166.375\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.4%5E3=157.464 ALIGN=MIDDLE  ALT=\"5.4%5E3=157.464\"   DISABLED_style= \"max-width:90%; height:auto;\" >; you might then either try linear interpolation, or look for another cubic multiplication between 5.4 and 5.5.)<BR>\n" );
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