Whakaoti i te sqrt{17380/5067*451}

$$\sqrt{ \frac{ 17380 }{ 5067 \times 451 } }$$

Aromātai

$$\frac{2\sqrt{9117785}}{69249}\approx 0.087208971$$

Ngā Upane Otinga

Whakareatia te 5067 ki te 451, ka 2285217.

$$\sqrt{\frac{17380}{2285217}}$$

Whakahekea te hautanga \frac{17380}{2285217} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\sqrt{\frac{1580}{207747}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{1580}{207747}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1580}}{\sqrt{207747}}.

$$\frac{\sqrt{1580}}{\sqrt{207747}}$$

Tauwehea te 1580=2^{2}\times 395. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 395} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{395}. Tuhia te pūtakerua o te 2^{2}.

$$\frac{2\sqrt{395}}{\sqrt{207747}}$$

Tauwehea te 207747=3^{2}\times 23083. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 23083} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{23083}. Tuhia te pūtakerua o te 3^{2}.

$$\frac{2\sqrt{395}}{3\sqrt{23083}}$$

Whakangāwaritia te tauraro o \frac{2\sqrt{395}}{3\sqrt{23083}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{23083}.

$$\frac{2\sqrt{395}\sqrt{23083}}{3\left(\sqrt{23083}\right)^{2}}$$

Ko te pūrua o \sqrt{23083} ko 23083.

$$\frac{2\sqrt{395}\sqrt{23083}}{3\times 23083}$$

Hei whakarea \sqrt{395} me \sqrt{23083}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{2\sqrt{9117785}}{3\times 23083}$$

Whakareatia te 3 ki te 23083, ka 69249.

$$\frac{2\sqrt{9117785}}{69249}$$