Whakaoti i te D*sqrt{8/125}

$$D \cdot \sqrt { \frac { 8 } { 125 } }$$

Aromātai

$$\frac{2\sqrt{10}D}{25}$$

Ngā Upane Otinga

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{8}{125}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{8}}{\sqrt{125}}.

$$D\times \frac{\sqrt{8}}{\sqrt{125}}$$

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}.

$$D\times \frac{2\sqrt{2}}{\sqrt{125}}$$

Tauwehea te 125=5^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 5} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{5}. Tuhia te pūtakerua o te 5^{2}.

$$D\times \frac{2\sqrt{2}}{5\sqrt{5}}$$

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

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

Ko te pūrua o \sqrt{5} ko 5.

$$D\times \frac{2\sqrt{2}\sqrt{5}}{5\times 5}$$

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

$$D\times \frac{2\sqrt{10}}{5\times 5}$$

Whakareatia te 5 ki te 5, ka 25.

$$D\times \frac{2\sqrt{10}}{25}$$

Tuhia te D\times \frac{2\sqrt{10}}{25} hei hautanga kotahi.

$$\frac{D\times 2\sqrt{10}}{25}$$

Kimi Pārōnaki e ai ki D

$$\frac{2 \sqrt{10}}{25} = 0.2529822128134704$$