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

$$\sqrt { 2 \times 8 } - \sqrt { ( - 3 ) ^ { 2 } + 3 \sqrt { ( 3 ) ^ { 2 } } }$$

Aromātai

$$4-3\sqrt{2}\approx -0.242640687$$

Ngā Upane Otinga

Whakareatia te 2 ki te 8, ka 16.

$$\sqrt{16}-\sqrt{\left(-3\right)^{2}+3\sqrt{3^{2}}}$$

Tātaitia te pūtakerua o 16 kia tae ki 4.

$$4-\sqrt{\left(-3\right)^{2}+3\sqrt{3^{2}}}$$

Tātaihia te -3 mā te pū o 2, kia riro ko 9.

$$4-\sqrt{9+3\sqrt{3^{2}}}$$

Tātaihia te 3 mā te pū o 2, kia riro ko 9.

$$4-\sqrt{9+3\sqrt{9}}$$

Tātaitia te pūtakerua o 9 kia tae ki 3.

$$4-\sqrt{9+3\times 3}$$

Whakareatia te 3 ki te 3, ka 9.

$$4-\sqrt{9+9}$$

Tāpirihia te 9 ki te 9, ka 18.

$$4-\sqrt{18}$$

Tauwehea te 18=3^{2}\times 2. Tuhia anō te pūtake rua o te hua \sqrt{3^{2}\times 2} hei hua o ngā pūtake rua \sqrt{3^{2}}\sqrt{2}. Tuhia te pūtakerua o te 3^{2}.

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