Whakaoti i te (2sqrt{3})-(3sqrt{2})(3sqrt{8})

$$( 2 \sqrt { 3 } ) - ( 3 \sqrt { 2 } ) ( 3 \sqrt { 8 } )$$

Aromātai

$$2\left(\sqrt{3}-18\right)\approx -32.535898385$$

Ngā Upane Otinga

Tauwehea te 8=2\times 4. Tuhia anō te pūtake rua o te hua \sqrt{2\times 4} hei hua o ngā pūtake rua \sqrt{2}\sqrt{4}.

$$2\sqrt{3}-3\sqrt{2}\times 3\sqrt{2}\sqrt{4}$$

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

$$2\sqrt{3}-3\times 2\times 3\sqrt{4}$$

Whakareatia te 3 ki te 2, ka 6.

$$2\sqrt{3}-6\times 3\sqrt{4}$$

Whakareatia te 6 ki te 3, ka 18.

$$2\sqrt{3}-18\sqrt{4}$$

Tātaitia te pūtakerua o 4 kia tae ki 2.

$$2\sqrt{3}-18\times 2$$

Whakareatia te 18 ki te 2, ka 36.

$$2\sqrt{3}-36$$

Tauwehe

$$2 {(\sqrt{3} - 18)} = -32.535898385$$