Dab tsi yog tus lej irrational ntawm 1 thiab 2?
Dab tsi yog tus lej irrational ntawm 1 thiab 2?

Video: Dab tsi yog tus lej irrational ntawm 1 thiab 2?

Video: Dab tsi yog tus lej irrational ntawm 1 thiab 2?
Video: Koj Hais Dab Tsi?/Suabci Kwm & Ab Meej Ham/Official MV 2023 2024, Kaum ib hlis
Anonim

Ib feem tsim los ntawm ib tus lej irrational rau tus lej thiab ib qho rational rau tus denominator yog ib tus lej irrational . Nws tuaj yeem pom tias "pi" / 2 (1.57) uas dag nruab nrab ntawm 1 thiab 2 yog cov lus teb rau koj cov lus nug. Cov lus piav qhia rau tib yam yog tus lej, ib irrational , tsis tuaj yeem qhia raws li ib feem.

Kuj nug, dab tsi yog tus lej tsis sib haum xeeb ntawm 2 thiab 3?

Yog li ntawd √7, 3 √17, 4√54 thiab 5√178 yog tag nrho irrational tooj ntawm 2 thiab 3 ua 4<7<9; 8<17<27; 16 <54<81 thiab 32<178<243.

Tsis tas li ntawd, tus lej irrational ntawm 1 thiab 6 yog dab tsi? Cov naj npawb irrational ntawm 1 thiab 6 yog uncountably infinite. Tsis muaj ib qho kev txheeb xyuas los ntawm cov lej ntuj tuaj yeem sau tag nrho lawv. Yog hais tias tus (transfinite) tus naj npawb ntawm rationals yog sau li ω, ces tus naj npawb ntawm irrationals yuav sau li 2 ω.

Ntxiv mus, dab tsi yog tus naj npawb irrational ntawm 2 thiab 7?

Teb: √5, √6, √ 7 √8, √10, √11, √12, √13, √14, √15, √17 txog √48 tsuas yog √9, √16, √25 thiab √36 tag nrho cov yog tus lej irrational.

Puas yog 0 tus lej tiag?

Cov lej tiag muaj zero ( 0 ), tus lej zoo thiab tsis zoo (-3, -1, 2, 4), thiab tag nrho cov zauv feem thiab lej nyob nruab nrab ntawm (0.4, 3.1415927, 1/2). Cov lej tiag muab faib ua rational thiab irrational tus lej.

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