Whakaoti i te sqrt{5^2+{left(5/3right)}^2}

$$\sqrt{ { 5 }^{ 2 } + { \left( \frac{ 5 }{ 3 } \right) }^{ 2 } }$$

Aromātai

$$\frac{5\sqrt{10}}{3}\approx 5.270462767$$

Ngā Upane Otinga

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\sqrt{25+\left(\frac{5}{3}\right)^{2}}$$

Tātaihia te \frac{5}{3} mā te pū o 2, kia riro ko \frac{25}{9}.

$$\sqrt{25+\frac{25}{9}}$$

Me tahuri te 25 ki te hautau \frac{225}{9}.

$$\sqrt{\frac{225}{9}+\frac{25}{9}}$$

Tā te mea he rite te tauraro o \frac{225}{9} me \frac{25}{9}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\sqrt{\frac{225+25}{9}}$$

Tāpirihia te 225 ki te 25, ka 250.

$$\sqrt{\frac{250}{9}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{250}{9}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{250}}{\sqrt{9}}.

$$\frac{\sqrt{250}}{\sqrt{9}}$$

Tauwehea te 250=5^{2}\times 10. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 10} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{10}. Tuhia te pūtakerua o te 5^{2}.

$$\frac{5\sqrt{10}}{\sqrt{9}}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$\frac{5\sqrt{10}}{3}$$