Whakaoti i te sqrt{2}sqrt{8}sqrt{18}sqrt{32}

$$\sqrt { 2 } \sqrt { 8 } \sqrt { 18 } \sqrt { 32 }$$

Aromātai

$$96$$

Ngā Upane Otinga

Tauwehea te 8=2\times 4. Tuhia anō te pūtake rua o te hua \sqrt{2\times 4} hei hua o ngā pūtake rua \sqrt{2}\sqrt{4}.

$$\sqrt{2}\sqrt{2}\sqrt{4}\sqrt{18}\sqrt{32}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$2\sqrt{4}\sqrt{18}\sqrt{32}$$

Tauwehea te 32=4\times 8. Tuhia anō te pūtake rua o te hua \sqrt{4\times 8} hei hua o ngā pūtake rua \sqrt{4}\sqrt{8}.

$$2\sqrt{4}\sqrt{18}\sqrt{4}\sqrt{8}$$

Whakareatia te \sqrt{4} ki te \sqrt{4}, ka 4.

$$2\times 4\sqrt{18}\sqrt{8}$$

Whakareatia te 2 ki te 4, ka 8.

$$8\sqrt{18}\sqrt{8}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

$$8\times 3\sqrt{2}\sqrt{8}$$

Whakareatia te 8 ki te 3, ka 24.

$$24\sqrt{2}\sqrt{8}$$

Tauwehea te 8=2^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 2} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{2}. Tuhia te pūtakerua o te 2^{2}.

$$24\sqrt{2}\times 2\sqrt{2}$$

Whakareatia te 24 ki te 2, ka 48.

$$48\sqrt{2}\sqrt{2}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$48\times 2$$

Whakareatia te 48 ki te 2, ka 96.

$$96$$

Tauwehe

$$2^{5}\times 3$$