Whakaoti i te 3sqrt{frac{35sqrt{4}}{10sqrt{16}}}

$$3 \sqrt{ \frac{ 35 \sqrt{ 4 } }{ 10 \sqrt{ 16 } } }$$

Aromātai

$$\frac{3\sqrt{7}}{2}\approx 3.968626967$$

Ngā Upane Otinga

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$3\sqrt{\frac{7\sqrt{4}}{2\sqrt{16}}}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$3\sqrt{\frac{7\times 2}{2\sqrt{16}}}$$

Whakareatia te 7 ki te 2, ka 14.

$$3\sqrt{\frac{14}{2\sqrt{16}}}$$

Tātaitia te pūtakerua o 16 kia tae ki 4.

$$3\sqrt{\frac{14}{2\times 4}}$$

Whakareatia te 2 ki te 4, ka 8.

$$3\sqrt{\frac{14}{8}}$$

Whakahekea te hautanga \frac{14}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3\sqrt{\frac{7}{4}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{7}{4}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{7}}{\sqrt{4}}.

$$3\times \frac{\sqrt{7}}{\sqrt{4}}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$3\times \frac{\sqrt{7}}{2}$$

Tuhia te 3\times \frac{\sqrt{7}}{2} hei hautanga kotahi.

$$\frac{3\sqrt{7}}{2}$$