Whakaoti i te sqrt{8*5^3+(4*5-0*76)^2}

$$\sqrt { 8 \cdot 5 ^ { 3 } + ( 4 \cdot 5 - 0 \cdot 76 ) ^ { 2 } }$$

Aromātai

$$10\sqrt{14}\approx 37.416573868$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 3, kia riro ko 125.

$$\sqrt{8\times 125+\left(4\times 5-0\times 76\right)^{2}}$$

Whakareatia te 8 ki te 125, ka 1000.

$$\sqrt{1000+\left(4\times 5-0\times 76\right)^{2}}$$

Whakareatia te 4 ki te 5, ka 20.

$$\sqrt{1000+\left(20-0\times 76\right)^{2}}$$

Whakareatia te 0 ki te 76, ka 0.

$$\sqrt{1000+\left(20-0\right)^{2}}$$

Tangohia te 0 i te 20, ka 20.

$$\sqrt{1000+20^{2}}$$

Tātaihia te 20 mā te pū o 2, kia riro ko 400.

$$\sqrt{1000+400}$$

Tāpirihia te 1000 ki te 400, ka 1400.

$$\sqrt{1400}$$

Tauwehea te 1400=10^{2}\times 14. Tuhia anō te pūtake rua o te hua \sqrt{10^{2}\times 14} hei hua o ngā pūtake rua \sqrt{10^{2}}\sqrt{14}. Tuhia te pūtakerua o te 10^{2}.

$$10\sqrt{14}$$