231

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> <div> </div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>231</B></div> <div> <B>R a d i c a l e s</B></div> <div> <B>Simplificación de radicales</B></div> <div> <B>Cuando la cantidad </B><I><B>subradical</B></I><B> contiene factores cuyo exponente es divisible por el índice</B></div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B>Procedimiento:</B></div> <div> <B>P</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >ara simplificar radicales se procede de la siguiente manera:</FONT></div> <div> <B>1.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  Se factoriza la cantidad subradical (de los radicales solo se pueden sacar factores).</FONT></div> <div> <B>2.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  La parte numérica se descompone en factores primos de tal forma que la mayor parte se exprese como potencias con exponentes múltiplos del índice de la raíz  (para sacar una potencia de una raíz se divide el exponente entre el índice) </FONT></div> <div> <B>3.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  La parte literal se descompone de tal manera que se exprese la mayor parte posible con exponentes múltiplos del índice de la raíz  </FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="464" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 37 ><NOBR><div> <B>V</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >ideos e imágenes sobre la solución de los ejercicios:</FONT></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>1</B></FONT>:</div> <div> <A HREF="#1" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>2</B></FONT>:</div> <div> <A HREF="#2" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>3</B></FONT>:</div> <div> <A HREF="#3" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>4</B></FONT>:</div> <div> <A HREF="#4" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>5</B></FONT>:</div> <div> <A HREF="#5" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>6</B></FONT>:</div> <div> <A HREF="http://youtu.be/GVm89-imbYk" TARGET="_top" TITLE="http://youtu.be/GVm89-imbYk"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 79 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>13</B></FONT>:</div> <div> <A HREF="http://youtu.be/7hPm_rFcUoU" TARGET="_top" TITLE="http://youtu.be/7hPm_rFcUoU"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>14</B></FONT>:</div> <div> <A HREF="http://youtu.be/tl_SSI3qNj8" TARGET="_top" TITLE="http://youtu.be/tl_SSI3qNj8"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>15</B></FONT>:</div> <div> <A HREF="http://youtu.be/_U_FWa36REs" TARGET="_top" TITLE="http://youtu.be/_U_FWa36REs"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 79 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>22</B></FONT>:</div> <div> <A HREF="http://youtu.be/fgQFO7DmOOE" TARGET="_top" TITLE="http://youtu.be/fgQFO7DmOOE"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>23</B></FONT>:</div> <div> <A HREF="http://youtu.be/FVGE5e4l9jM" TARGET="_top" TITLE="http://youtu.be/FVGE5e4l9jM"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>24</B></FONT>:</div> <div> <A HREF="http://youtu.be/hwLx0rNvc2U" TARGET="_top" TITLE="http://youtu.be/hwLx0rNvc2U"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>25</B></FONT>:</div> <div> <A HREF="#25" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>26</B></FONT>:</div> <div> <A HREF="#26" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>27</B></FONT>:</div> <div> <A HREF="#27" TITLE="231"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> </TABLE></div> <bR> <div> <B>S </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >i m p l i f i c a r:</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="625ed5680.gif" border=0 width="213" height="104" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <bR> <div> <IMG SRC="62ad2b680.gif" border=0 width="299" height="104" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <bR> <div> <IMG SRC="62aed5680.gif" border=0 width="213" height="104" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <bR> <div> <IMG SRC="62afefdb0.gif" border=0 width="495" height="219" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <IMG SRC="625fdba70.gif" border=0 width="475" height="167" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="25"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>25</div> <div> <IMG SRC="62605c910.gif" border=0 width="604" height="145" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="26"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>26</div> <bR> <div> <IMG SRC="62b05dad0.gif" border=0 width="605" height="173" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="27"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>27</div> <bR> <div> <IMG SRC="62b103700.gif" border=0 width="515" 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