Whakaoti i te sqrt{60^2+(60sqrt{3})^2-628}

$$\sqrt { 60 ^ { 2 } + ( 60 \sqrt { 3 } ) ^ { 2 } - 628 }$$

Aromātai

$$2\sqrt{3443}\approx 117.354164817$$

Ngā Upane Otinga

Tātaihia te 60 mā te pū o 2, kia riro ko 3600.

$$\sqrt{3600+\left(60\sqrt{3}\right)^{2}-628}$$

Whakarohaina te \left(60\sqrt{3}\right)^{2}.

$$\sqrt{3600+60^{2}\left(\sqrt{3}\right)^{2}-628}$$

Tātaihia te 60 mā te pū o 2, kia riro ko 3600.

$$\sqrt{3600+3600\left(\sqrt{3}\right)^{2}-628}$$

Ko te pūrua o \sqrt{3} ko 3.

$$\sqrt{3600+3600\times 3-628}$$

Whakareatia te 3600 ki te 3, ka 10800.

$$\sqrt{3600+10800-628}$$

Tāpirihia te 3600 ki te 10800, ka 14400.

$$\sqrt{14400-628}$$

Tangohia te 628 i te 14400, ka 13772.

$$\sqrt{13772}$$

Tauwehea te 13772=2^{2}\times 3443. Tuhia anō te pūtake rua o te hua \sqrt{2^{2}\times 3443} hei hua o ngā pūtake rua \sqrt{2^{2}}\sqrt{3443}. Tuhia te pūtakerua o te 2^{2}.

$$2\sqrt{3443}$$