document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214227>Question 214227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the square root of 140 in radical form, and how do you solve the problem?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161803 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "I think you mean <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt{140}\">\r<BR>\n" );
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document.write( "Now, it depends on whether you want to simplify this to the smallest possible radicand yet leave the answer in exact form, or if you want a numerical approximation of the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt{140}\">\r<BR>\n" );
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document.write( "The numerical approximation is easy.  Punch 140 into your calculator and then press the square root key.  Round off appropriate to your application and you are done.\r<BR>\n" );
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document.write( "To simplify, you need to find the prime factorization of the radicand.\r<BR>\n" );
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document.write( "Divide 140 by 2, you get 70\r<BR>\n" );
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document.write( "Divide 70 by 2, you get 35\r<BR>\n" );
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document.write( "35 is not divisible by 2\r<BR>\n" );
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document.write( "35 is not divisible by 3\r<BR>\n" );
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document.write( "Divide 35 by 5, you get 7 which is prime.\r<BR>\n" );
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document.write( "So your prime factorization is 2 * 2 * 5 * 7.\r<BR>\n" );
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document.write( "You have one pair of factors, namely the 2s.  Eliminate both 2s from under the radical, and take one of them outside the radical.  That leaves you with a 2 outside the radical and 5 * 7 = 35 still inside, hence your answer is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2\sqrt{35}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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