Whakaoti i te sqrt{2*5000/966}

$$\sqrt{ \frac{ 2 \times 5000 }{ 966 } }$$

Aromātai

$$\frac{50\sqrt{966}}{483}\approx 3.21744726$$

Ngā Upane Otinga

Whakareatia te 2 ki te 5000, ka 10000.

$$\sqrt{\frac{10000}{966}}$$

Whakahekea te hautanga \frac{10000}{966} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\sqrt{\frac{5000}{483}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{5000}{483}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{5000}}{\sqrt{483}}.

$$\frac{\sqrt{5000}}{\sqrt{483}}$$

Tauwehea te 5000=50^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{50^{2}\times 2} hei hua o ngā pūtake rua \sqrt{50^{2}}\sqrt{2}. Tuhia te pūtakerua o te 50^{2}.

$$\frac{50\sqrt{2}}{\sqrt{483}}$$

Whakangāwaritia te tauraro o \frac{50\sqrt{2}}{\sqrt{483}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{483}.

$$\frac{50\sqrt{2}\sqrt{483}}{\left(\sqrt{483}\right)^{2}}$$

Ko te pūrua o \sqrt{483} ko 483.

$$\frac{50\sqrt{2}\sqrt{483}}{483}$$

Hei whakarea \sqrt{2} me \sqrt{483}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{50\sqrt{966}}{483}$$