Whakaoti i te sqrt{2*98*40*10^-2}

$$\sqrt{ 2 \times 98 \times 40 \times { 10 }^{ -2 } }$$

Aromātai

$$\frac{14\sqrt{10}}{5}\approx 8.854377448$$

Ngā Upane Otinga

Whakareatia te 2 ki te 98, ka 196.

$$\sqrt{196\times 40\times 10^{-2}}$$

Whakareatia te 196 ki te 40, ka 7840.

$$\sqrt{7840\times 10^{-2}}$$

Tātaihia te 10 mā te pū o -2, kia riro ko \frac{1}{100}.

$$\sqrt{7840\times \frac{1}{100}}$$

Whakareatia te 7840 ki te \frac{1}{100}, ka \frac{392}{5}.

$$\sqrt{\frac{392}{5}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{392}{5}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{392}}{\sqrt{5}}.

$$\frac{\sqrt{392}}{\sqrt{5}}$$

Tauwehea te 392=14^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{14^{2}\times 2} hei hua o ngā pūtake rua \sqrt{14^{2}}\sqrt{2}. Tuhia te pūtakerua o te 14^{2}.

$$\frac{14\sqrt{2}}{\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{14\sqrt{2}}{\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{14\sqrt{2}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{14\sqrt{2}\sqrt{5}}{5}$$

Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{14\sqrt{10}}{5}$$