Whakaoti i te (sqrt{6}+sqrt{3})sqrt{6}-sqrt{3})

$$( \sqrt { 6 } + \sqrt { 3 } ) \sqrt { 6 } - \sqrt { 3 } )$$

Aromātai

$$3\sqrt{2}+6-\sqrt{3}\approx 8.51058988$$

Ngā Upane Otinga

Whakamahia te āhuatanga tohatoha hei whakarea te \sqrt{6}+\sqrt{3} ki te \sqrt{6}.

$$\left(\sqrt{6}\right)^{2}+\sqrt{3}\sqrt{6}-\sqrt{3}$$

Ko te pūrua o \sqrt{6} ko 6.

$$6+\sqrt{3}\sqrt{6}-\sqrt{3}$$

Tauwehea te 6=3\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3\times 2} hei hua o ngā pūtake rua \sqrt{3}\sqrt{2}.

$$6+\sqrt{3}\sqrt{3}\sqrt{2}-\sqrt{3}$$

Whakareatia te \sqrt{3} ki te \sqrt{3}, ka 3.

$$6+3\sqrt{2}-\sqrt{3}$$