Whakaoti i te 3.2/2+1.2/2*sqrt{1+7.87/23.7}

$$\frac{ 3.2 }{ 2 } + \frac{ 1.2 }{ 2 } \times \sqrt{ 1+ \frac{ 7.87 }{ 23.7 } }$$

Aromātai

$$\frac{\sqrt{7482090}}{3950}+1.6\approx 2.292491375$$

Ngā Hipanga Rongoā Poto

Whakarohaina te \frac{3.2}{2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{32}{20}+\frac{1.2}{2}\sqrt{1+\frac{7.87}{23.7}}$$

Whakahekea te hautanga \frac{32}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{8}{5}+\frac{1.2}{2}\sqrt{1+\frac{7.87}{23.7}}$$

Whakarohaina te \frac{1.2}{2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{8}{5}+\frac{12}{20}\sqrt{1+\frac{7.87}{23.7}}$$

Whakahekea te hautanga \frac{12}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{8}{5}+\frac{3}{5}\sqrt{1+\frac{7.87}{23.7}}$$

Whakarohaina te \frac{7.87}{23.7} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{8}{5}+\frac{3}{5}\sqrt{1+\frac{787}{2370}}$$

Me tahuri te 1 ki te hautau \frac{2370}{2370}.

$$\frac{8}{5}+\frac{3}{5}\sqrt{\frac{2370}{2370}+\frac{787}{2370}}$$

Tā te mea he rite te tauraro o \frac{2370}{2370} me \frac{787}{2370}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8}{5}+\frac{3}{5}\sqrt{\frac{2370+787}{2370}}$$

Tāpirihia te 2370 ki te 787, ka 3157.

$$\frac{8}{5}+\frac{3}{5}\sqrt{\frac{3157}{2370}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{3157}{2370}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{3157}}{\sqrt{2370}}.

$$\frac{8}{5}+\frac{3}{5}\times \frac{\sqrt{3157}}{\sqrt{2370}}$$

Whakangāwaritia te tauraro o \frac{\sqrt{3157}}{\sqrt{2370}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2370}.

$$\frac{8}{5}+\frac{3}{5}\times \frac{\sqrt{3157}\sqrt{2370}}{\left(\sqrt{2370}\right)^{2}}$$

Ko te pūrua o \sqrt{2370} ko 2370.

$$\frac{8}{5}+\frac{3}{5}\times \frac{\sqrt{3157}\sqrt{2370}}{2370}$$

Hei whakarea \sqrt{3157} me \sqrt{2370}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{8}{5}+\frac{3}{5}\times \frac{\sqrt{7482090}}{2370}$$

Me whakarea te \frac{3}{5} ki te \frac{\sqrt{7482090}}{2370} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{8}{5}+\frac{3\sqrt{7482090}}{5\times 2370}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{8}{5}+\frac{\sqrt{7482090}}{5\times 790}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 5 me 5\times 790 ko 5\times 790. Whakareatia \frac{8}{5} ki te \frac{790}{790}.

$$\frac{8\times 790}{5\times 790}+\frac{\sqrt{7482090}}{5\times 790}$$

Tā te mea he rite te tauraro o \frac{8\times 790}{5\times 790} me \frac{\sqrt{7482090}}{5\times 790}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8\times 790+\sqrt{7482090}}{5\times 790}$$

Mahia ngā whakarea i roto o 8\times 790+\sqrt{7482090}.

$$\frac{6320+\sqrt{7482090}}{5\times 790}$$

Whakarohaina te 5\times 790.

$$\frac{6320+\sqrt{7482090}}{3950}$$