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<font size="4" style="font-family: times new roman,times,serif;">Al racionalizar la expresión <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»#a«/mi»«/mrow»«msqrt»«mrow»«mi»#a«/mi»«/mrow»«/msqrt»«/mfrac»«/math»</span> se obtiene</font>:<br />
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<div style="text-align: justify;"><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">Solución:</span></font><br /><br style="font-family: times new roman,times,serif;" /><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">La fracción dada corresponde al caso 1 de racionalización con el denominador raíz cuadrada:</span></font><br /><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"></span></font><br /><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"></span></font></div> <div style="text-align: justify;"><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mfrac»«mi»#a«/mi»«msqrt»«mi»#a«/mi»«/msqrt»«/mfrac»«/math»</span></span><span class="nolink"> La expresión dada debe amplificarse por el denominador</span></font>.<br /><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"></span></font></div> <div style="text-align: justify;"><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»=«/mo»«mfrac»«mi»#a«/mi»«msqrt»«mi»#a«/mi»«/msqrt»«/mfrac»«mo»·«/mo»«mfenced»«mfrac»«msqrt»«mrow»«mi»#a«/mi»«/mrow»«/msqrt»«msqrt»«mrow»«mi»#a«/mi»«/mrow»«/msqrt»«/mfrac»«/mfenced»«/math»</span></span> Amplificar es multiplicar numerador y denominador por una misma expresión</font>.<br /><font size="4" style="font-family: times new roman,times,serif;">Así queda la expresión al amplificarla</font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»=«/mo»«mfrac»«mrow»«mi»#a«/mi»«mo»·«/mo»«msqrt»«mi»#a«/mi»«/msqrt»«/mrow»«msqrt»«msup»«mi»#a«/mi»«mn»2«/mn»«/msup»«/msqrt»«/mfrac»«/math»</span></span> </font><br /><font size="4" style="font-family: times new roman,times,serif;">Pero </font><font size="4"><span style="font-family: times new roman,times,serif;">recuerda que: </span></font><font size="4" style="font-family: times new roman,times,serif;"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«msqrt»«msup»«mi»#a«/mi»«mn»2«/mn»«/msup»«/msqrt»«mo»=«/mo»«mi»#a«/mi»«/math»</span></font><font size="4"><span style="font-family: times new roman,times,serif;">, la</span><span style="font-family: times new roman,times,serif;"> raíz cuadrada de una potencia al cuadrado es igual a la base de dicha potencia</span><span style="font-family: times new roman,times,serif;">. <br />Luego</span></font><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»=«/mo»«mfrac»«mrow»«mi mathvariant="bold-italic"»#a«/mi»«msqrt»«mi»#a«/mi»«/msqrt»«/mrow»«mi mathvariant="bold-italic"»#a«/mi»«/mfrac»«/math»</span> </font><font size="4"><span style="font-family: times new roman,times,serif;"> </span><span style="font-family: times new roman,times,serif;">simplificando se obtiene la solución final.</span></font><br style="font-family: times new roman,times,serif;" /><font size="4"><span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mo»=«/mo»«msqrt»«mi»#a«/mi»«/msqrt»«/math»</span></font><br style="font-family: times new roman,times,serif;" /><font size="4"><span style="font-family: times new roman,times,serif;" class="nolink"></span></font></div>
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Algorithm
Choice 1
Answer
«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mi»#a«/mi»«/msqrt»«/math»
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<font size="4"><span style="font-family: times new roman,times,serif;"> Bien. Continúa de esta manera.</span></font><br />
Choice 2
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#r2
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<span class="nolink"><font size="4" style="font-family: times new roman,times,serif;">Al parecer estás multiplicando por la misma fracción. Debes amplificar por el denominador.</font><br /> </span>
Choice 3
Answer
#r3
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<span style="font-family: times new roman,times,serif;" class="nolink"><font size="4">Al parecer no aplicaste bien el producto de dos raíces iguales. Revisa tu desarrollo.</font></span>
Choice 4
Answer
#r4
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<span style="font-family: times new roman,times,serif;" class="nolink"><font size="4">Al parecer tienes un problema con los signos. Revisa tu desarrollo.</font></span>
Choice 5
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Choice 7
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Feedback
Combined feedback
For any correct response
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Options
Show the number of correct responses once the question has finished
For any incorrect response
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Settings for multiple tries
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Hint 1
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Clear incorrect responses
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Hint 2
Hint text
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Clear incorrect responses
Show the number of correct responses
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Wednesday, 21 August 2013, 1:52 PM
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on
Wednesday, 21 August 2013, 1:52 PM
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