Whakaoti i te sqrt{45div1/5*8/3}*2

$$\sqrt{ 45 \div \frac{ 1 }{ 5 } \times \frac{ 8 }{ 3 } } \times 2$$

Aromātai

$$20\sqrt{6}\approx 48.989794856$$

Ngā Upane Otinga

Whakawehe 45 ki te \frac{1}{5} mā te whakarea 45 ki te tau huripoki o \frac{1}{5}.

$$2\sqrt{45\times 5\times \frac{8}{3}}$$

Whakareatia te 45 ki te 5, ka 225.

$$2\sqrt{225\times \frac{8}{3}}$$

Tuhia te 225\times \frac{8}{3} hei hautanga kotahi.

$$2\sqrt{\frac{225\times 8}{3}}$$

Whakareatia te 225 ki te 8, ka 1800.

$$2\sqrt{\frac{1800}{3}}$$

Whakawehea te 1800 ki te 3, kia riro ko 600.

$$2\sqrt{600}$$

Tauwehea te 600=10^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 6} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{6}. Tuhia te pūtakerua o te 10^{2}.

$$2\times 10\sqrt{6}$$

Whakareatia te 2 ki te 10, ka 20.

$$20\sqrt{6}$$