Whakaoti i te sqrt{2^4*5^2}*sqrt{16*2}

$$\sqrt { 2 ^ { 4 } \cdot 5 ^ { 2 } } \cdot \sqrt { 16 \cdot 2 }$$

Aromātai

$$80\sqrt{2}\approx 113.13708499$$

Ngā Upane Otinga

Tātaihia te 2 mā te pū o 4, kia riro ko 16.

$$\sqrt{16\times 5^{2}}\sqrt{16\times 2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\sqrt{16\times 25}\sqrt{16\times 2}$$

Whakareatia te 16 ki te 25, ka 400.

$$\sqrt{400}\sqrt{16\times 2}$$

Tātaitia te pūtakerua o 400 kia tae ki 20.

$$20\sqrt{16\times 2}$$

Whakareatia te 16 ki te 2, ka 32.

$$20\sqrt{32}$$

Tauwehea te 32=4^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 2} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{2}. Tuhia te pūtakerua o te 4^{2}.

$$20\times 4\sqrt{2}$$

Whakareatia te 20 ki te 4, ka 80.

$$80\sqrt{2}$$