Whakaoti i te sqrt{2785/56}+56^2

$$\sqrt{ 2 \frac{ 785 }{ 56 } } + { 56 }^{ 2 }$$

Aromātai

$$\frac{\sqrt{12558}}{28}+3136\approx 3140.00223152$$

Ngā Hipanga Rongoā Poto

Whakareatia te 2 ki te 56, ka 112.

$$\sqrt{\frac{112+785}{56}}+56^{2}$$

Tāpirihia te 112 ki te 785, ka 897.

$$\sqrt{\frac{897}{56}}+56^{2}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{897}{56}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{897}}{\sqrt{56}}.

$$\frac{\sqrt{897}}{\sqrt{56}}+56^{2}$$

Tauwehea te 56=2^{2}\times 14. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 14} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{14}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{\sqrt{897}}{2\sqrt{14}}+56^{2}$$

Whakangāwaritia te tauraro o \frac{\sqrt{897}}{2\sqrt{14}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{14}.

$$\frac{\sqrt{897}\sqrt{14}}{2\left(\sqrt{14}\right)^{2}}+56^{2}$$

Ko te pūrua o \sqrt{14} ko 14.

$$\frac{\sqrt{897}\sqrt{14}}{2\times 14}+56^{2}$$

Hei whakarea \sqrt{897} me \sqrt{14}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{\sqrt{12558}}{2\times 14}+56^{2}$$

Whakareatia te 2 ki te 14, ka 28.

$$\frac{\sqrt{12558}}{28}+56^{2}$$

Tātaihia te 56 mā te pū o 2, kia riro ko 3136.

$$\frac{\sqrt{12558}}{28}+3136$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3136 ki te \frac{28}{28}.

$$\frac{\sqrt{12558}}{28}+\frac{3136\times 28}{28}$$

Tā te mea he rite te tauraro o \frac{\sqrt{12558}}{28} me \frac{3136\times 28}{28}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\sqrt{12558}+3136\times 28}{28}$$

Mahia ngā whakarea i roto o \sqrt{12558}+3136\times 28.

$$\frac{\sqrt{12558}+87808}{28}$$