Whakaoti i te sqrt{6607*10^-11*598*10^24/900+6378}

$$\sqrt { \frac { 6607 \cdot 10 ^ { - 11 } \cdot 598 \cdot 10 ^ { 24 } } { 900 + 6378 } }$$

Aromātai

$$\frac{1000000\sqrt{71888190270}}{3639}\approx 73679508.44214353$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -11 me te 24 kia riro ai te 13.

$$\sqrt{\frac{6607\times 10^{13}\times 598}{900+6378}}$$

Tātaihia te 10 mā te pū o 13, kia riro ko 10000000000000.

$$\sqrt{\frac{6607\times 10000000000000\times 598}{900+6378}}$$

Whakareatia te 6607 ki te 10000000000000, ka 66070000000000000.

$$\sqrt{\frac{66070000000000000\times 598}{900+6378}}$$

Whakareatia te 66070000000000000 ki te 598, ka 39509860000000000000.

$$\sqrt{\frac{39509860000000000000}{900+6378}}$$

Tāpirihia te 900 ki te 6378, ka 7278.

$$\sqrt{\frac{39509860000000000000}{7278}}$$

Whakahekea te hautanga \frac{39509860000000000000}{7278} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\frac{19754930000000000000}{3639}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{19754930000000000000}{3639}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{19754930000000000000}}{\sqrt{3639}}.

$$\frac{\sqrt{19754930000000000000}}{\sqrt{3639}}$$

Tauwehea te 19754930000000000000=1000000^{2}\times 19754930. Tuhia anō te pūtake rua o te hua \sqrt{1000000^{2}\times 19754930} hei hua o ngā pūtake rua \sqrt{1000000^{2}}\sqrt{19754930}. Tuhia te pūtakerua o te 1000000^{2}.

$$\frac{1000000\sqrt{19754930}}{\sqrt{3639}}$$

Whakangāwaritia te tauraro o \frac{1000000\sqrt{19754930}}{\sqrt{3639}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{3639}.

$$\frac{1000000\sqrt{19754930}\sqrt{3639}}{\left(\sqrt{3639}\right)^{2}}$$

Ko te pūrua o \sqrt{3639} ko 3639.

$$\frac{1000000\sqrt{19754930}\sqrt{3639}}{3639}$$

Hei whakarea \sqrt{19754930} me \sqrt{3639}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{1000000\sqrt{71888190270}}{3639}$$