Whakaoti i te sqrt{0.027div15.36/55696}

$$\sqrt { 0.027 \div \frac { 15.36 } { 55696 } }$$

Aromātai

$$\frac{177\sqrt{5}}{40}\approx 9.8946008$$

Ngā Upane Otinga

Whakawehe 0.027 ki te \frac{15.36}{55696} mā te whakarea 0.027 ki te tau huripoki o \frac{15.36}{55696}.

$$\sqrt{\frac{0.027\times 55696}{15.36}}$$

Whakareatia te 0.027 ki te 55696, ka 1503.792.

$$\sqrt{\frac{1503.792}{15.36}}$$

Whakarohaina te \frac{1503.792}{15.36} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$\sqrt{\frac{1503792}{15360}}$$

Whakahekea te hautanga \frac{1503792}{15360} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 48.

$$\sqrt{\frac{31329}{320}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{31329}{320}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{31329}}{\sqrt{320}}.

$$\frac{\sqrt{31329}}{\sqrt{320}}$$

Tātaitia te pūtakerua o 31329 kia tae ki 177.

$$\frac{177}{\sqrt{320}}$$

Tauwehea te 320=8^{2}\times 5. Tuhia anō te pūtake rua o te hua \sqrt{8^{2}\times 5} hei hua o ngā pūtake rua \sqrt{8^{2}}\sqrt{5}. Tuhia te pūtakerua o te 8^{2}.

$$\frac{177}{8\sqrt{5}}$$

Whakangāwaritia te tauraro o \frac{177}{8\sqrt{5}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{5}.

$$\frac{177\sqrt{5}}{8\left(\sqrt{5}\right)^{2}}$$

Ko te pūrua o \sqrt{5} ko 5.

$$\frac{177\sqrt{5}}{8\times 5}$$

Whakareatia te 8 ki te 5, ka 40.

$$\frac{177\sqrt{5}}{40}$$