Whakaoti i te sqrt{1.6*11.9*8.85*8/2*0.889}

$$\sqrt{ \frac{ 1.6 \times 11.9 \times 8.85 \times 8 }{ 2 \times 0.889 } }$$

Aromātai

$$\frac{4\sqrt{764286}}{127}\approx 27.534945585$$

Ngā Upane Otinga

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\sqrt{\frac{1.6\times 4\times 8.85\times 11.9}{0.889}}$$

Whakareatia te 1.6 ki te 4, ka 6.4.

$$\sqrt{\frac{6.4\times 8.85\times 11.9}{0.889}}$$

Whakareatia te 6.4 ki te 8.85, ka 56.64.

$$\sqrt{\frac{56.64\times 11.9}{0.889}}$$

Whakareatia te 56.64 ki te 11.9, ka 674.016.

$$\sqrt{\frac{674.016}{0.889}}$$

Whakarohaina te \frac{674.016}{0.889} mā te whakarea i te taurunga me te tauraro ki te 1000.

$$\sqrt{\frac{674016}{889}}$$

Whakahekea te hautanga \frac{674016}{889} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\sqrt{\frac{96288}{127}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{96288}{127}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{96288}}{\sqrt{127}}.

$$\frac{\sqrt{96288}}{\sqrt{127}}$$

Tauwehea te 96288=4^{2}\times 6018. Tuhia anō te pūtake rua o te hua \sqrt{4^{2}\times 6018} hei hua o ngā pūtake rua \sqrt{4^{2}}\sqrt{6018}. Tuhia te pūtakerua o te 4^{2}.

$$\frac{4\sqrt{6018}}{\sqrt{127}}$$

Whakangāwaritia te tauraro o \frac{4\sqrt{6018}}{\sqrt{127}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{127}.

$$\frac{4\sqrt{6018}\sqrt{127}}{\left(\sqrt{127}\right)^{2}}$$

Ko te pūrua o \sqrt{127} ko 127.

$$\frac{4\sqrt{6018}\sqrt{127}}{127}$$

Hei whakarea \sqrt{6018} me \sqrt{127}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{4\sqrt{764286}}{127}$$