Whakaoti i te sqrt{(6sqrt{6})^2+(6sqrt{2})^2}

$$\sqrt { ( 6 \sqrt { 6 } ) ^ { 2 } + ( 6 \sqrt { 2 } ) ^ { 2 } }$$

Aromātai

$$12\sqrt{2}\approx 16.970562748$$

Ngā Upane Otinga

Whakarohaina te \left(6\sqrt{6}\right)^{2}.

$$\sqrt{6^{2}\left(\sqrt{6}\right)^{2}+\left(6\sqrt{2}\right)^{2}}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\sqrt{36\left(\sqrt{6}\right)^{2}+\left(6\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{6} ko 6.

$$\sqrt{36\times 6+\left(6\sqrt{2}\right)^{2}}$$

Whakareatia te 36 ki te 6, ka 216.

$$\sqrt{216+\left(6\sqrt{2}\right)^{2}}$$

Whakarohaina te \left(6\sqrt{2}\right)^{2}.

$$\sqrt{216+6^{2}\left(\sqrt{2}\right)^{2}}$$

Tātaihia te 6 mā te pū o 2, kia riro ko 36.

$$\sqrt{216+36\left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\sqrt{216+36\times 2}$$

Whakareatia te 36 ki te 2, ka 72.

$$\sqrt{216+72}$$

Tāpirihia te 216 ki te 72, ka 288.

$$\sqrt{288}$$

Tauwehea te 288=12^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{12^{2}\times 2} hei hua o ngā pūtake rua \sqrt{12^{2}}\sqrt{2}. Tuhia te pūtakerua o te 12^{2}.

$$12\sqrt{2}$$