Whakaoti i te sqrt{8^2+{left(32/3right)}^2}

$$\sqrt{ { 8 }^{ 2 } + { \left( \frac{ 32 }{ 3 } \right) }^{ 2 } }$$

Aromātai

$$\frac{40}{3}\approx 13.333333333$$

Ngā Upane Otinga

Tātaihia te 8 mā te pū o 2, kia riro ko 64.

$$\sqrt{64+\left(\frac{32}{3}\right)^{2}}$$

Tātaihia te \frac{32}{3} mā te pū o 2, kia riro ko \frac{1024}{9}.

$$\sqrt{64+\frac{1024}{9}}$$

Me tahuri te 64 ki te hautau \frac{576}{9}.

$$\sqrt{\frac{576}{9}+\frac{1024}{9}}$$

Tā te mea he rite te tauraro o \frac{576}{9} me \frac{1024}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{576+1024}{9}}$$

Tāpirihia te 576 ki te 1024, ka 1600.

$$\sqrt{\frac{1600}{9}}$$

Tuhia anō te pūtake rua o te whakawehenga \frac{1600}{9} hei whakawehenga o ngā pūtake rua \frac{\sqrt{1600}}{\sqrt{9}}. Tuhia te pūtakerua o te taurunga me te tauraro.

$$\frac{40}{3}$$

Tauwehe

$$\frac{2 ^ {3} \cdot 5}{3} = 13\frac{1}{3} = 13.333333333333334$$