Whakaoti i te sqrt{(12sqrt{3})^2+36^2}

$$\sqrt { ( 12 \sqrt { 3 } ) ^ { 2 } + 36 ^ { 2 } }$$

Aromātai

$$24\sqrt{3}\approx 41.569219382$$

Ngā Upane Otinga

Whakarohaina te \left(12\sqrt{3}\right)^{2}.

$$\sqrt{12^{2}\left(\sqrt{3}\right)^{2}+36^{2}}$$

Tātaihia te 12 mā te pū o 2, kia riro ko 144.

$$\sqrt{144\left(\sqrt{3}\right)^{2}+36^{2}}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\sqrt{144\times 3+36^{2}}$$

Whakareatia te 144 ki te 3, ka 432.

$$\sqrt{432+36^{2}}$$

Tātaihia te 36 mā te pū o 2, kia riro ko 1296.

$$\sqrt{432+1296}$$

Tāpirihia te 432 ki te 1296, ka 1728.

$$\sqrt{1728}$$

Tauwehea te 1728=24^{2}\times 3. Tuhia anō te pūtake rua o te hua \sqrt{24^{2}\times 3} hei hua o ngā pūtake rua \sqrt{24^{2}}\sqrt{3}. Tuhia te pūtakerua o te 24^{2}.

$$24\sqrt{3}$$