Back to kuchikoro. mudzi Kuwedzera

Mazuvano ano zvemagetsi makombiyuta pakuverenga yaiungana pamudzi nhamba hausi rakaoma. Somuenzaniso, √2704 = 52, ndizvo imi ngaaverenge chero karukureta. Sezvineiwo karukureta haisi chete musi Windows, asiwo vanhuwo, kunyange vane mwero, runhare. Chokwadi kana pakarepo (a yakaderera mukana, computation iro, Sezvineiwo, rinosanganisira kuwedzera yemidzi), uchaona pachako pasina mari iripo, zvino, Haiwa, kuvimba pfungwa dzavo.

Kurovedza pfungwa wacho usingadzimwi. Kunyanya avo vasiri kudaro kakawanda anoshanda nhamba, uye kunyange zvakawanda kudaro kumidzi. Kuwedzera uye kubvisa zviri midzi - a Workout rakanaka kwepfungwa wakangosuruvara. Uye ini ndichava ndikuratidzei danho nedanho kuwedzera pamidzi. Mashoko Mienzaniso angava sezvinotevera.

Mukana wokuti vanhu vanga kuti rinoda nyore:

√2 + 3√48-4 × √27 + √128

Ichi chinhu safunga okuti. Kuti husava zvakafanira kuuya radicands zvose zvavo chimiro. Isu danho nedanho:

nhamba yokutanga hazvigoni nyore. Tava kutendeukira kune wechipiri izwi.

3√48 anoora pa multipliers 48: 48 = 2 × 24 kana 48 × 16 = 3. Yaiungana mudzi 24 haisi integer, i.e. munhu fractional zvasara. Sezvo tichida chaiyo kukosha, fungidzira midzi havasi akakodzera. Yaiungana Mudzi 16 mana, kuti kubva pasi mudzi chiratidzo. Tinowana 4 × 3 × √3 = 12 × √3

Mashoko anotevera kubva kwatiri akaipa, kureva, zvakanyorwa kubvisa -4 × √ (27.) Kuparidza 27 multipliers. Tinowana 27 × 3 = 9. Hatidi kushandisa fractional multipliers nokuda nezvikamu kuverenga mativi pamudzi zvakaoma. 9 tora kubva pasi ndiro, i.e. We ngaaverenge Square mudzi. Tinowana zvinotevera okuti: -4 × 3 × √3 = -12 × √3

Next izwi √128 ngaaverenge chikamu kuti anogona kutorwa kubva pasi mudzi. 128 = 64 × 2, apo √64 = 8. Kana unogona kufungidzira zvichava nyore aya sezvo: √128 = √ (8 ^ 2 × 2)

We nyorazve kutaura nyore mazwi:

√2 + 12 × √3-12 × √3 + 8 × √2

Zvino isu wedzera kuwanda zvakafanana radicals. Haugoni kuwedzera kana kutapudza kutaura radicals siyana. mudzi Kuwedzera kunoda zvaidiwa nokutonga ichi.

Tinowana akapindura zvinotevera:

√2 + 12√3-12√3 + 8√2 = 9√2

√2 = 1 × √2 - tariro kuti nemasvomhu vakasarudza kusiya zvakadaro zvinhu haangavi mashoko kwamuri.

Expressions rinogona kuratidzirwa kwete chete nokuda mativi mudzi, asi ane cubic mudzi kana N-hydrochloric papi.

Kuwedzera uye kubvisa Midzi pamwe exponents zvakasiyana, asi pamwe nerechiHebheru radicand, ndizvo sezvinotevera:

Kana tine mashoko akafanana √a + ∛b + ∜b, tinogona nyore aya sezvinotevera:

∛b + ∜b = 12 × √b4 + 12 × √b3

12√b4 + 12 × √b3 = 12 × √b4 + B3

Isu vakauya nhengo mbiri yakadaro rwakafanana chokukomborerwa mudzi. Pano isu vakashandisa Midzi pfuma, iyo inoti sezvinotevera: kana uwandu inosiyana yakakura okuti uye uwandu indekisi mudzi kane chete nhamba, ayo kukarukureta anoramba kuzochinja.

Cherechedza: asi exponents chete kuwedzera apo vawanda.

Funga muenzaniso umo chipo tichitarisa ari hacho.

5√8-4 × √ (1/4) + √72-4 × √2

Tichakurukura kusarudza pamatanho:

5√8 = 5 * 2√2 - isu kuti kubva pamudzi retrievable.

- 4√ (1/4) = - 4 √1 / (√4) = - 4 * 1/2 = - 2

Kana mudzi muviri inomiririrwa hacho, asi chikamu chiduku haasi chikamu kuchinja uku, kana yaiungana pamudzi dividend uye divisor. Somugumisiro, tawana wakaenzana pamusoro apa.

√72-4√2 = √ (2 × 36) - 4√2 = 2√2

10√2 + 2√2-2 = 12√2-2

Saka kuti tiwane mhinduro.

Chinhu chikuru kuyeuka kuti asina kunaka nhamba hazvigoni vabudiswa mudzi ane kunyange exponent. Kana kunyange dhigirii radicand akaipa, zvino mashoko ari aripo sokuti asingagadzirisiki.

Kusanganiswa midzi runobvira chete kana masanga mashoko ari radicals nokuti mazwi zvakafanana. Izvi zvinoshandawo musiyano.

Kuwedzera Numeric midzi nedzimwe exponents anoitwa nokuiunzira kusvika zvachose kukura pamudzi vose mashoko. mutemo uyu zvimwechetezvo sezvo zvinoderedza rwakafanana dhinomineta apo achiwedzera kana Tikabvisa zvikamu zviduku.

Kana radicand ane nhamba vachamutsirwa simba aya anogona nyore nokuda uchitarisira kuti mudzi pakati indekisi uye panosvika pane chakajairika dhinomineta.