4t ESO/4.02 POTÈNCIES I ARRELS/4.02.2 Arrels 4.02.2.321Q Racionalització index 2 Racionalitza «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«mfrac mathcolor=¨#00007F¨»«msqrt»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»a«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msqrt»«msqrt»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msqrt»«/mfrac»«/mstyle»«/math»

Format de la resposta: enter o «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«/mrow»«mn»3«/mn»«/mfrac»«/math»

]]> 1.0000000 0.5000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>a1</mi><mo>=</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>11</mn><mo>,</mo><mn>13</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>b1</mi><mo>=</mo><mi>aleatori</mi><mfenced><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>,</mo><mn>7</mn><mo>,</mo><mn>11</mn></mtd></mtr></mtable></mfenced></mfenced></mtd></mtr><mtr><mtd><mi>a</mi><mo>=</mo><msqrt><mi>a1</mi></msqrt></mtd></mtr><mtr><mtd><mi>b</mi><mo>=</mo><msqrt><mi>b1</mi></msqrt></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable><mrow><mfenced><mrow><mi>a1</mi><mo>≠</mo><mi>b1</mi></mrow></mfenced><mo>∧</mo><mfenced><mrow><mi>mcd</mi><mo>(</mo><mi>a1</mi><mo>,</mo><mi>b1</mi><mo>)</mo><mo>=</mo><mn>1</mn></mrow></mfenced></mrow></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mfrac><mi>a</mi><mi>b</mi></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>a1</mi><mo>*</mo><mi>b1</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>3</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>11</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><msqrt><mn>33</mn></msqrt><mn>11</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Per racionalitzar, cal multiplicar el numerador i el denominador per «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨12px¨»«msqrt»«mo mathvariant=¨bold¨»#«/mo»«mi mathvariant=¨bold¨»b«/mi»«mn mathvariant=¨bold¨»1«/mn»«/msqrt»«/mstyle»«/math»: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac mathcolor=¨#003300¨»«mrow»«msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»a«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»§#183;«/mo»«msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»b«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/msqrt»«/mrow»«mrow»«msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»b«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»§#183;«/mo»«msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»b«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/msqrt»«/mrow»«/mfrac»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨ mathsize=¨12px¨»=«/mo»«mfrac mathcolor=¨#003300¨»«msqrt»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold-italic¨ mathsize=¨12px¨»p«/mi»«/msqrt»«mrow»«mo mathvariant=¨bold¨ mathsize=¨12px¨»#«/mo»«mi mathvariant=¨bold¨ mathsize=¨12px¨»b«/mi»«mn mathvariant=¨bold¨ mathsize=¨12px¨»1«/mn»«/mrow»«/mfrac»«/math»

que cal simplificar si es pot

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