Gabatarwa a ƙarƙashin alamar tushen

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda ake shigar da lamba (mai yawa) ko wasiƙa a ƙarƙashin alamar murabba'i da manyan iko na tushen. Bayanin yana tare da misalai masu amfani don kyakkyawar fahimta.

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Doka don shigarwa ƙarƙashin alamar tushen

Tushen square

Don kawo lamba (factor) a ƙarƙashin alamar tushen murabba'in, ya kamata a ɗaga shi zuwa ƙarfin na biyu (a wasu kalmomi, squared), sannan rubuta sakamakon a ƙarƙashin alamar tushen.

Misali 1: Bari mu sanya lamba 7 a ƙarƙashin tushen murabba'in.

Yanke shawara:

1. Da farko, bari mu daidaita lambar da aka bayar: 72 = 49.

2. Yanzu kawai mu rubuta lambar ƙididdiga a ƙarƙashin tushen, watau muna samun √49.

A taƙaice, ana iya rubuta gabatarwar da ke ƙarƙashin alamar tushen kamar haka:

Gabatarwa a ƙarƙashin alamar tushen

lura: Idan muna magana ne game da mai yawa, muna ninka shi ta hanyar magana mai tsattsauran ra'ayi da ta riga ta kasance.

Misali 2: wakiltar samfurin 3√5 gaba daya a karkashin tushen digiri na biyu.

Gabatarwa a ƙarƙashin alamar tushen

tushen nth

Don kawo lamba (factor) a ƙarƙashin alamar cubic da iko mafi girma na tushen, muna tayar da wannan lambar zuwa matakin da aka ba, sa'an nan kuma canja wurin sakamakon zuwa magana mai mahimmanci.

Misali 3: Bari mu sanya lamba 6 a ƙarƙashin tushen cube.

Gabatarwa a ƙarƙashin alamar tushen

Misali 4: tunanin samfur 253 karkashin tushen digiri na 5.

Gabatarwa a ƙarƙashin alamar tushen

Lambar mara kyau/mai yawa

Lokacin shigar da lambar mara kyau / mai yawa a ƙarƙashin tushen (komai wane digiri), alamar cirewa koyaushe ta kasance a gaban alamar tushen.

Misali 5

Gabatarwa a ƙarƙashin alamar tushen

Shigar da harafi a ƙarƙashin tushen

Don kawo harafi a ƙarƙashin alamar tushen, muna ci gaba kamar yadda tare da lambobi (ciki har da marasa kyau) - muna ɗaga wannan harafin zuwa matakin da ya dace, sa'an nan kuma ƙara shi zuwa tushen magana.

Misali 6

Gabatarwa a ƙarƙashin alamar tushen

Wannan gaskiya ne lokacin shafi> 0, idan p lambar mara kyau ce, to dole ne a ƙara alamar cirewa kafin alamar tushe.

Misali 7

Mu yi la'akari da wani lamari mai rikitarwa: (3 + √8) √5.

Yanke shawara:

1. Da farko, za mu shigar da magana a cikin maƙallan ƙarƙashin alamar tushen.

Gabatarwa a ƙarƙashin alamar tushen

2. Yanzu bisa ga za mu tayar da magana (3 + √8) a cikin murabba'i.

Gabatarwa a ƙarƙashin alamar tushen

lura: ana iya musanya matakan farko da na biyu.

3. Ya rage kawai don yin ninkawa a ƙarƙashin tushen tare da fadada maƙallan.

Gabatarwa a ƙarƙashin alamar tushen

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