{"id":6235,"date":"2023-11-21T07:00:28","date_gmt":"2023-11-21T06:00:28","guid":{"rendered":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/?p=6235"},"modified":"2023-11-22T08:05:58","modified_gmt":"2023-11-22T07:05:58","slug":"1-1","status":"publish","type":"post","link":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/1-1\/","title":{"rendered":"\u00bf1=-1?"},"content":{"rendered":"<p style=\"text-align: justify\"><strong><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">En el conjunto de los n\u00fameros reales no existe la ra\u00edz cuadrada de \u20131. En el conjunto de los n\u00fameros complejos se define la unidad imaginaria, i, como la ra\u00edz cuadrada de \u20131:<\/span><\/strong><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6243 aligncenter\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df0.png\" alt=\"\" width=\"83\" height=\"25\"><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Utilizando esta definici\u00f3n, \u00bfexiste alg\u00fan fallo en el siguiente razonamiento?<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Las dos fracciones siguientes son iguales:<\/span><\/p>\n<p style=\"text-align: center\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6238\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df1.png\" alt=\"\" width=\"91\" height=\"49\"><\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Las ra\u00edces de dos expresiones iguales son tambi\u00e9n iguales:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6239\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df2.png\" alt=\"\" width=\"135\" height=\"53\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">La ra\u00edz de una fracci\u00f3n es igual a la ra\u00edz del numerador entre la ra\u00edz del denominador:<\/span><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6240 aligncenter\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df3.png\" alt=\"\" width=\"119\" height=\"55\"><\/span><\/p>\n<p style=\"text-align: justify\"><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se quitan denominadores:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6242\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df4.png\" alt=\"\" width=\"182\" height=\"27\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se aplica que la ra\u00edz cuadrada de \u20131 es igual a la unidad imaginaria, i:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6244\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df5.png\" alt=\"\" width=\"89\" height=\"28\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se realizan los dos productos:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6245\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df6.png\" alt=\"\" width=\"66\" height=\"28\"><\/p>\n<p><span style=\"font-family: 'times new roman', times, serif;font-size: 14pt\">Se calculan las dos potencias aplicando que&nbsp; \u00abi<sup>2 <\/sup>= \u20131\u00bb&nbsp; y se obtiene esta sorprendente igualdad:<\/span><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-6246\" src=\"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/files\/2023\/11\/df7.png\" alt=\"\" width=\"74\" height=\"25\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>En el conjunto de los n\u00fameros reales no existe la ra\u00edz cuadrada de \u20131. En el conjunto de los n\u00fameros complejos se define la unidad imaginaria, i, como la ra\u00edz cuadrada de \u20131: Utilizando&#46;&#46;&#46;<\/p>\n","protected":false},"author":7927,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0,"footnotes":""},"categories":[2075210],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6235"}],"collection":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/users\/7927"}],"replies":[{"embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/comments?post=6235"}],"version-history":[{"count":7,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6235\/revisions"}],"predecessor-version":[{"id":6257,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/posts\/6235\/revisions\/6257"}],"wp:attachment":[{"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/media?parent=6235"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/categories?post=6235"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogsaverroes.juntadeandalucia.es\/recursosdematematicas\/wp-json\/wp\/v2\/tags?post=6235"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}