--- title: Realna števila – množica R description: "Realna števila: racionalna in irrationalna, gostota, lastnosti množice R in operacije." url: https://astra-ai.co/sl/videos/realna-stevila/ locale: sl type: video-topic keywords: - realna števila published: 2026-10-01T18:20:03.534Z updated: 2026-10-01T18:20:03.534Z alternates: vi: https://astra-ai.co/vi/videos/vi-topic-15/ en: https://astra-ai.co/videos/real-numbers/ es: https://astra-ai.co/es/videos/numeros-reales/ zh-HK: https://astra-ai.co/zh-HK/videos/shuxue-kecheng-015/ da: https://astra-ai.co/da/videos/reelle-tal/ de: https://astra-ai.co/de/videos/reelle-zahlen/ fr: https://astra-ai.co/fr/videos/nombres-reels/ it: https://astra-ai.co/it/videos/numeri-reali/ pl: https://astra-ai.co/pl/videos/liczby-rzeczywiste/ sl: https://astra-ai.co/sl/videos/realna-stevila/ el: https://astra-ai.co/el/videos/pragmatikoi-arithmoi/ hr: https://astra-ai.co/hr/videos/realni-brojevi/ bg: https://astra-ai.co/bg/videos/realni-chisla/ pt: https://astra-ai.co/pt/videos/numeros-reais/ nl: https://astra-ai.co/nl/videos/echte-cijfers/ cs: https://astra-ai.co/cs/videos/skutecna-cisla/ id: https://astra-ai.co/id/videos/bilangan-real/ hu: https://astra-ai.co/hu/videos/valos-szamok/ et: https://astra-ai.co/et/videos/reaalarvud/ fi: https://astra-ai.co/fi/videos/reaaliluvut/ no: https://astra-ai.co/no/videos/reelle-tall/ tr: https://astra-ai.co/tr/videos/gercek-say-lar/ sv: https://astra-ai.co/sv/videos/reella-tal/ ro: https://astra-ai.co/ro/videos/numere-reale/ sr: https://astra-ai.co/sr/videos/realni-brojevi/ sk: https://astra-ai.co/sk/videos/realne-cisla/ lv: https://astra-ai.co/lv/videos/realie-skaitli/ lt: https://astra-ai.co/lt/videos/realieji-skaiciai/ uk: https://astra-ai.co/uk/videos/uk-topic-15/ km: https://astra-ai.co/km/videos/real-numbers/ th: https://astra-ai.co/th/videos/chamnuan-cing/ ms: https://astra-ai.co/ms/videos/nombor-nyata/ my: https://astra-ai.co/my/videos/my-71fd5b20/ lo: https://astra-ai.co/lo/videos/lo-71fd5b20/ zh-TW: https://astra-ai.co/zh-TW/videos/real-numbers/ br: https://astra-ai.co/br/videos/numeros-reais/ es-AR: https://astra-ai.co/es-AR/videos/numeros-reales/ es-CL: https://astra-ai.co/es-CL/videos/numeros-reales/ mx: https://astra-ai.co/mx/videos/numeros-reales/ en-PH: https://astra-ai.co/en-PH/videos/real-numbers/ en-IN: https://astra-ai.co/en-IN/videos/real-numbers/ pt-TL: https://astra-ai.co/pt-TL/videos/numeros-reais/ ms-BN: https://astra-ai.co/ms-BN/videos/nombor-nyata/ es-PE: https://astra-ai.co/es-PE/videos/numeros-reales/ ko: https://astra-ai.co/ko/videos/real-numbers-ko/ ja: https://astra-ai.co/ja/videos/real-numbers-ja/ --- # Realna števila > Realna števila vključujejo racionalna in irrationalna števila ter predstavljajo vso številsko premico. Realna števila vključujejo racionalna in irrationalna števila. Označujemo jih z $\mathbb{R}$. ## Podmnožice - **Racionalna ($\mathbb{Q}$):** ulomek $p/q$, $q \neq 0$. - **Irracionalna:** npr. $\sqrt{2}$, $\pi$, $e$. ## Lastnosti Gostota, neomejenost in zaprtost za osnovne operacije (razen deljenja z 0). ## Zaključek Realna števila so temelj analize in algebre.