Whakaoti i te sqrt{{left(17sqrt{3}right)}^2+{left(17sqrt{3}right)}^2}

$$\sqrt{ { \left(17 \sqrt{ 3 } \right) }^{ 2 } + { \left(17 \sqrt{ 3 } \right) }^{ 2 } }$$

Aromātai

$$17\sqrt{6}\approx 41.641325627$$

Ngā Upane Otinga

Whakarohaina te \left(17\sqrt{3}\right)^{2}.

$$\sqrt{17^{2}\left(\sqrt{3}\right)^{2}+\left(17\sqrt{3}\right)^{2}}$$

Tātaihia te 17 mā te pū o 2, kia riro ko 289.

$$\sqrt{289\left(\sqrt{3}\right)^{2}+\left(17\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\sqrt{289\times 3+\left(17\sqrt{3}\right)^{2}}$$

Whakareatia te 289 ki te 3, ka 867.

$$\sqrt{867+\left(17\sqrt{3}\right)^{2}}$$

Whakarohaina te \left(17\sqrt{3}\right)^{2}.

$$\sqrt{867+17^{2}\left(\sqrt{3}\right)^{2}}$$

Tātaihia te 17 mā te pū o 2, kia riro ko 289.

$$\sqrt{867+289\left(\sqrt{3}\right)^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\sqrt{867+289\times 3}$$

Whakareatia te 289 ki te 3, ka 867.

$$\sqrt{867+867}$$

Tāpirihia te 867 ki te 867, ka 1734.

$$\sqrt{1734}$$

Tauwehea te 1734=17^{2}\times 6. Tuhia anō te pūtake rua o te hua \sqrt{17^{2}\times 6} hei hua o ngā pūtake rua \sqrt{17^{2}}\sqrt{6}. Tuhia te pūtakerua o te 17^{2}.

$$17\sqrt{6}$$