{"id":1141,"date":"2022-03-07T21:05:59","date_gmt":"2022-03-07T21:05:59","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/"},"modified":"2022-03-07T21:30:26","modified_gmt":"2022-03-07T21:30:26","slug":"castecne-odmocnovani","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/","title":{"rendered":"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed"},"content":{"rendered":"<ul>\n<li>N\u011bkter\u00e9 v\u00fdrazy se daj\u00ed zjednodu\u0161it pou\u017eit\u00edm metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed.<\/li>\n<li>Tato metoda vyu\u017e\u00edv\u00e1 vzorce: $$\\sqrt[n]{{a}\\cdot{b}}=\\sqrt[n]{a}\\cdot\\sqrt[n]{b}$$ a metody rozkladu na prvo\u010d\u00edsla<\/li>\n<li>S pomoc\u00ed metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed se d\u00e1 v\u00fdraz $$\\sqrt{9\\cdot{x}}$$ upravit na\u00a0$$3\\cdot\\sqrt{x}$$<\/li>\n<li>Postup vypad\u00e1 takto: $$\\sqrt{9\\cdot{x}}=\\sqrt{9}\\cdot\\sqrt{x}=3\\cdot\\sqrt{x}$$<\/li>\n<li>V praxi vypad\u00e1 \u010d\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed nap\u0159\u00edklad takto. V\u00fdraz $$\\sqrt{18}$$ se d\u00e1 upravit na $$3\\cdot\\sqrt{2}$$<\/li>\n<li>Postup vypad\u00e1 n\u00e1sledovn\u011b:$$\\sqrt{18}=\\sqrt{2\\cdot9}=\\sqrt{2\\cdot3\\cdot3}=\\sqrt{{2\\cdot3}^{2}}=3\\cdot\\sqrt{2}$$<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-1141","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"N\u011bkter\u00e9 v\u00fdrazy se daj\u00ed zjednodu\u0161it pou\u017eit\u00edm metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed. Tato metoda vyu\u017e\u00edv\u00e1 vzorce: $$sqrt[n]{{a}cdot{b}}=sqrt[n]{a}cdotsqrt[n]{b}$$ a metody rozkladu na prvo\u010d\u00edsla S pomoc\u00ed metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed se d\u00e1 v\u00fdraz $$sqrt{9cdot{x}}$$ upravit na\u00a0$$3cdotsqrt{x}$$ Postup vypad\u00e1 takto: $$sqrt{9cdot{x}}=sqrt{9}cdotsqrt{x}=3cdotsqrt{x}$$ V praxi vypad\u00e1 \u010d\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed nap\u0159\u00edklad takto. V\u00fdraz $$sqrt{18}$$ se d\u00e1 upravit na $$3cdotsqrt{2}$$ Postup vypad\u00e1 n\u00e1sledovn\u011b:$$sqrt{18}=sqrt{2cdot9}=sqrt{2cdot3cdot3}=sqrt{{2cdot3}^{2}}=3cdotsqrt{2}$$ &nbsp; &nbsp;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/\" \/>\n<meta property=\"og:site_name\" content=\"Studijni-svet.cz\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/studijnisvet\/\" \/>\n<meta property=\"article:modified_time\" content=\"2022-03-07T21:30:26+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Odhadovan\u00e1 doba \u010dten\u00ed\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/castecne-odmocnovani\\\/\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/castecne-odmocnovani\\\/\",\"name\":\"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#website\"},\"datePublished\":\"2022-03-07T21:05:59+00:00\",\"dateModified\":\"2022-03-07T21:30:26+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/castecne-odmocnovani\\\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/castecne-odmocnovani\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/courses\\\/matematika-k-maturite\\\/lekce\\\/castecne-odmocnovani\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\u016f\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lekce\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/lesson\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Matematika k maturit\u011b\",\"item\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/prehled\\\/matematika-k-maturite\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#website\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\",\"name\":\"Akademie Studijni-svet.cz | Kurzy a podklady\",\"description\":\"Online akademie | Kurzy a podklady\",\"publisher\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#organization\"},\"alternateName\":\"Akademie Studijni-svet.cz\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"cs\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#organization\",\"name\":\"Studijni-svet.cz\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"cs\",\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/wp-content\\\/uploads\\\/2022\\\/01\\\/SS_logo-1.png\",\"contentUrl\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/wp-content\\\/uploads\\\/2022\\\/01\\\/SS_logo-1.png\",\"width\":66,\"height\":75,\"caption\":\"Studijni-svet.cz\"},\"image\":{\"@id\":\"https:\\\/\\\/studijni-svet.cz\\\/kurzy\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/studijnisvet\\\/\",\"https:\\\/\\\/www.instagram.com\\\/studijnisvet.cz\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/","og_locale":"cs_CZ","og_type":"article","og_title":"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz","og_description":"N\u011bkter\u00e9 v\u00fdrazy se daj\u00ed zjednodu\u0161it pou\u017eit\u00edm metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed. Tato metoda vyu\u017e\u00edv\u00e1 vzorce: $$sqrt[n]{{a}cdot{b}}=sqrt[n]{a}cdotsqrt[n]{b}$$ a metody rozkladu na prvo\u010d\u00edsla S pomoc\u00ed metody \u010d\u00e1ste\u010dn\u00e9ho odmocn\u011bn\u00ed se d\u00e1 v\u00fdraz $$sqrt{9cdot{x}}$$ upravit na\u00a0$$3cdotsqrt{x}$$ Postup vypad\u00e1 takto: $$sqrt{9cdot{x}}=sqrt{9}cdotsqrt{x}=3cdotsqrt{x}$$ V praxi vypad\u00e1 \u010d\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed nap\u0159\u00edklad takto. V\u00fdraz $$sqrt{18}$$ se d\u00e1 upravit na $$3cdotsqrt{2}$$ Postup vypad\u00e1 n\u00e1sledovn\u011b:$$sqrt{18}=sqrt{2cdot9}=sqrt{2cdot3cdot3}=sqrt{{2cdot3}^{2}}=3cdotsqrt{2}$$ &nbsp; &nbsp;","og_url":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/","og_site_name":"Studijni-svet.cz","article_publisher":"https:\/\/www.facebook.com\/studijnisvet\/","article_modified_time":"2022-03-07T21:30:26+00:00","twitter_card":"summary_large_image","twitter_misc":{"Odhadovan\u00e1 doba \u010dten\u00ed":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/","url":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/","name":"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed | Studijni-svet.cz","isPartOf":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#website"},"datePublished":"2022-03-07T21:05:59+00:00","dateModified":"2022-03-07T21:30:26+00:00","breadcrumb":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/#breadcrumb"},"inLanguage":"cs","potentialAction":[{"@type":"ReadAction","target":["https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/castecne-odmocnovani\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom\u016f","item":"https:\/\/studijni-svet.cz\/kurzy\/"},{"@type":"ListItem","position":2,"name":"Lekce","item":"https:\/\/studijni-svet.cz\/kurzy\/lesson\/"},{"@type":"ListItem","position":3,"name":"Matematika k maturit\u011b","item":"https:\/\/studijni-svet.cz\/kurzy\/prehled\/matematika-k-maturite\/"},{"@type":"ListItem","position":4,"name":"\u010c\u00e1ste\u010dn\u00e9 odmocn\u011bn\u00ed"}]},{"@type":"WebSite","@id":"https:\/\/studijni-svet.cz\/kurzy\/#website","url":"https:\/\/studijni-svet.cz\/kurzy\/","name":"Akademie Studijni-svet.cz | Kurzy a podklady","description":"Online akademie | Kurzy a podklady","publisher":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#organization"},"alternateName":"Akademie Studijni-svet.cz","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/studijni-svet.cz\/kurzy\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"cs"},{"@type":"Organization","@id":"https:\/\/studijni-svet.cz\/kurzy\/#organization","name":"Studijni-svet.cz","url":"https:\/\/studijni-svet.cz\/kurzy\/","logo":{"@type":"ImageObject","inLanguage":"cs","@id":"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/","url":"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png","contentUrl":"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/01\/SS_logo-1.png","width":66,"height":75,"caption":"Studijni-svet.cz"},"image":{"@id":"https:\/\/studijni-svet.cz\/kurzy\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/studijnisvet\/","https:\/\/www.instagram.com\/studijnisvet.cz"]}]}},"_links":{"self":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson\/1141","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson"}],"about":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/types\/lesson"}],"replies":[{"embeddable":true,"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/comments?post=1141"}],"version-history":[{"count":0,"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/lesson\/1141\/revisions"}],"wp:attachment":[{"href":"https:\/\/studijni-svet.cz\/kurzy\/wp-json\/wp\/v2\/media?parent=1141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}