Hoki ki te kura. tua pakiaka

I tčnei wā hou rorohiko hiko tātai i te pakiaka tapawha o te tau e kore ko te mahi uaua. Hei tauira, √2704 = 52, he tātai koe tetahi tātaitai tenei. Aua'e, Ko te tātaitai i runga i Windows kore anake, engari ano hoki i roto i te mau, ara te tino unpretentious, waea. Pono ki te ohorere (he tūponotanga iti, tätaitanga o nei, rokohanga, ngā te tua o pakiaka), ka kitea e koe koe, kahore moni e wātea ana, ka, aue, i ki te whakawhirinaki i runga i o ratou roro.

e kore te whakangungu i te hinengaro hoatu. Rawa hoki te hunga e kore e nei pera maha mahi ki tau, a tae noa atu pera ki te pakiaka. Tāpiritanga me te tangohanga ko nga pakiaka - he īngoa pai mo te hinengaro pokaia. A ka whakaatu ahau ki a koutou taahi i te taahiraa tua o pakiaka. kia tauira Expression e whai ake.

Ko te whārite e tika ana kia māmā:

√2 + 3√48-4 × √27 + √128

Ko te faaiteraa noatia tenei. I roto i te tikanga ki te faaohie he reira e tika ana ki te kawe radicands katoa ki te puka whānui. e manga tatou i te taahiraa:

e kore e taea te raweketia e te tau tuatahi. tahuri tatou ki te wā tuarua.

3√48 hanehane i multipliers 48: 48 = 2 × 24 ranei 48 × 16 = 3. Ko te pakiaka tapawha kore he o 24 he tau tōpū, i.e. he toenga hautanga. Mai Me tatou te uara tangohia, e kore e tika pakiaka āwhiwhiwhi. Ko te pakiaka tapawha o 16 he wha, ki te hanga i taua mea i roto i raro i te tohu pakiaka. whiwhi tatou 4 × 3 × √3 = 12 × √3

Te parau i muri nei i tatou he tōraro, arā, Kei te tuhituhi ki te haunga te -4 × √ (27.) Horahia 27 multipliers. whiwhi tatou 27 × 3 = 9. E kore matou e whakamahi multipliers hautanga no o te hautau ki te tātai i te pakiaka tapawha o te matatini. 9 tangohia i roto i raro i te paraharaha, i.e. tātai tatou i te pakiaka tapawha. whiwhi tatou i te faaiteraa e whai ake nei: -4 × 3 × √3 = -12 × √3

wā muri √128 tātai i te wahi e taea te tangohia atu i raro i te pakiaka. 128 = 64 × 2, te wahi √64 = 8. Ki te taea e koe whakaaro ka mama tenei faaiteraa rite: √128 = √ (8 ^ 2 × 2)

tuhituhi anō tatou i nga ngā kīanga māmā:

√2 + 12 × √3-12 × √3 + 8 × √2

Na tāpiri tatou ake te maha o te taua Radicals. e kore koe e taea e tāpiri tango faaiteraa o Radicals rerekē ranei. titau pakiaka Addition tautukunga ki tenei tikanga.

whiwhi tatou i te whakautu e whai ake nei:

√2 + 12√3-12√3 + 8√2 = 9√2

√2 = 1 × √2 - tumanako e i roto i te taurangi faaoti ki waihotia taua huānga kore e waiho rongo ki a koutou.

Ka taea te māngai kīanga e te pakiaka tapawha kore anake, engari ano hoki ki te pakiaka pūtoru n-pūmāota whānuitanga ranei.

Addition me tangohanga pakiaka ki taupū rerekē, engari ki te radicand ōrite, he rite whai:

Ki te whai tatou he faaiteraa rite √a + ∛b + ∜b, e nehenehe tatou e te faaohie i tenei faaiteraa e whai ake:

∛b + ∜b = 12 × √b4 + 12 × √b3

12√b4 + 12 × √b3 = 12 × √b4 + B3

kawea matou e rua ngā mema o taua ki te tohu noa o te pakiaka. Tenei kua whakamahia matou nga pakiaka o te taonga, e na ô e whai ake: Ki te te maha o nga nekehanga o te whakapuaki tuwhena me te maha o te taupū pakiaka whakanuia e te tau taua, tonu tona tātaitanga tonu.

Tuhipoka: te taupū anake tāpiri ake ina whakanuia.

Fakakaukau angé ki he tauira i reira te hakari i ngā o te hautau.

√ 5√8-4 × (1/4) + √72-4 × √2

Ka whakatau matou i runga i te kaupae:

5√8 = 5 * 2√2 - hanga tatou i roto o te pakiaka o te whakapā atu.

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

Ki te māngai te pakiaka o te tinana e te hautanga, e kore te mea te hautanga he wahi o tenei huringa, ki te te pakiaka tapawha o te pänga me te tau whakawehe. Ka rite ki te hua, kua whiwhi matou i te taurite whakaahuatia ana i runga.

√72-4√2 = √ (2 × 36) - 4√2 = 2√2

10√2 + 2√2-2 = 12√2-2

Na ki te tiki i te whakahoki.

Ko te mea matua ki te mahara e kore e taea te pana tau tōraro pakiaka ki te ara taupū. Ki te he kino noa radicand tohu, na ko unsolvable te faaiteraa.

Ko taea Addition o nga pakiaka anake, no te te tāpiritanga o kīanga i roto i te Radicals no te mea he ratou ngā rite. Ko te taua pā ki te rerekētanga.

Addition o pakiaka tau ki taupū rerekē whakamana e mau mai ki te katoa whānuitanga o te pakiaka o ngā e rua. He te pānga taua rite te whakaiti ki te tauraro noa ka tāpiri tango hautau ranei tenei ture.

Ki te he tokomaha whakaarahia ki te mana o tenei faaiteraa te radicand kua taea te māmā e mana'o e te pakiaka i waenganui i te taupū me te whānuitanga reira ko te tauraro noa.