Whakaoti i te sqrt{52}sqrt{50}*sqrt{26}

$$\sqrt{ 52 } \sqrt{ 50 } \times \sqrt{ 26 }$$

Aromātai

$$260$$

Ngā Upane Otinga

Tauwehea te 52=26\times 2. Tuhia anō te pūtake rua o te hua \sqrt{26\times 2} hei hua o ngā pūtake rua \sqrt{26}\sqrt{2}.

$$\sqrt{26}\sqrt{2}\sqrt{50}\sqrt{26}$$

Whakareatia te \sqrt{26} ki te \sqrt{26}, ka 26.

$$26\sqrt{50}\sqrt{2}$$

Tauwehea te 50=2\times 25. Tuhia anō te pūtake rua o te hua \sqrt{2\times 25} hei hua o ngā pūtake rua \sqrt{2}\sqrt{25}.

$$26\sqrt{2}\sqrt{25}\sqrt{2}$$

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

$$26\times 2\sqrt{25}$$

Whakareatia te 26 ki te 2, ka 52.

$$52\sqrt{25}$$

Tātaitia te pūtakerua o 25 kia tae ki 5.

$$52\times 5$$

Whakareatia te 52 ki te 5, ka 260.

$$260$$

Tauwehe

$$2^{2}\times 5\times 13$$